11462872590 has 96 divisors (see below), whose sum is σ = 32231122560. Its totient is φ = 2809755648.

The previous prime is 11462872583. The next prime is 11462872613. The reversal of 11462872590 is 9527826411.

11462872590 is a `hidden beast` number, since 1 + 1 + 462 + 87 + 25 + 90 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259134 + ... + 300126.

It is an arithmetic number, because the mean of its divisors is an integer number (335740860).

Almost surely, 2^11462872590 is an apocalyptic number.

11462872590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11462872590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115561280).

11462872590 is an abundant number, since it is smaller than the sum of its proper divisors (20768249970).

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

11462872590 is a wasteful number, since it uses less digits than its factorization.

11462872590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41258 (or 41255 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11462872590 in words is "eleven billion, four hundred sixty-two million, eight hundred seventy-two thousand, five hundred ninety".