87751591200 has 1944 divisors, whose sum is σ = 416837922228. Its totient is φ = 17209221120.

The previous prime is 87751591189. The next prime is 87751591211. The reversal of 87751591200 is 219515778.

87751591200 is a `hidden beast` number, since 8 + 7 + 7 + 51 + 591 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87751591189) and next prime (87751591211).

It can be written as a sum of positive squares in 6 ways, for example, as 24965264016 + 62786327184 = 158004^2 + 250572^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1655690374 + ... + 1655690426.

Almost surely, 2^87751591200 is an apocalyptic number.

87751591200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87751591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208418961114).

87751591200 is an abundant number, since it is smaller than the sum of its proper divisors (329086331028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87751591200 is a wasteful number, since it uses less digits than its factorization.

87751591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 87751591200 in words is "eighty-seven billion, seven hundred fifty-one million, five hundred ninety-one thousand, two hundred".