11890851840 has 460 divisors, whose sum is σ = 48721029456. Its totient is φ = 2717908992.

The previous prime is 11890851839. The next prime is 11890851893. The reversal of 11890851840 is 4815809811.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (2!)¹⁵.

11890851840 is a `hidden beast` number, since 1 + 1 + 8 + 90 + 8 + 518 + 40 = 666.

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 19 ways as a sum of consecutive naturals, for example, 1698693117 + ... + 1698693123.

Almost surely, 2^11890851840 is an apocalyptic number.

11890851840 is a gapful number since it is divisible by the number (10) 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 11890851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360514728).

11890851840 is an abundant number, since it is smaller than the sum of its proper divisors (36830177616).

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

11890851840 is an frugal number, since it uses more digits than its factorization.

11890851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11890851840 in words is "eleven billion, eight hundred ninety million, eight hundred fifty-one thousand, eight hundred forty".