20831040864 has 168 divisors, whose sum is σ = 61626050640. Its totient is φ = 6928167168.

The previous prime is 20831040859. The next prime is 20831040877. The reversal of 20831040864 is 46804013802.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15792397 + ... + 15793715.

It is an arithmetic number, because the mean of its divisors is an integer number (366821730).

Almost surely, 2^20831040864 is an apocalyptic number.

20831040864 is a gapful number since it is divisible by the number (24) 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 20831040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30813025320).

20831040864 is an abundant number, since it is smaller than the sum of its proper divisors (40795009776).

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

20831040864 is an equidigital number, since it uses as much as digits as its factorization.

20831040864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20831040864 in words is "twenty billion, eight hundred thirty-one million, forty thousand, eight hundred sixty-four".