2151600624432 has 800 divisors, whose sum is σ = 7718777792000. Its totient is φ = 565221017088.

The previous prime is 2151600624401. The next prime is 2151600624479. The reversal of 2151600624432 is 2344260061512.

2151600624432 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 600 + 6 + 2 + 4 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13704462498 + ... + 13704462654.

It is an arithmetic number, because the mean of its divisors is an integer number (9648472240).

Almost surely, 2^{2151600624432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151600624432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859388896000).

2151600624432 is an abundant number, since it is smaller than the sum of its proper divisors (5567177167568).

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

2151600624432 is an equidigital number, since it uses as much as digits as its factorization.

2151600624432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 2151600624432 its reverse (2344260061512), we get a palindrome (4495860685944).

The spelling of 2151600624432 in words is "two trillion, one hundred fifty-one billion, six hundred million, six hundred twenty-four thousand, four hundred thirty-two".