20451632256 has 192 divisors, whose sum is σ = 64306756800. Its totient is φ = 6187345920.

The previous prime is 20451632233. The next prime is 20451632261. The reversal of 20451632256 is 65223615402.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20451632256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12252990 + ... + 12254658.

It is an arithmetic number, because the mean of its divisors is an integer number (334931025).

Almost surely, 2^20451632256 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 20451632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32153378400).

20451632256 is an abundant number, since it is smaller than the sum of its proper divisors (43855124544).

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

20451632256 is a wasteful number, since it uses less digits than its factorization.

20451632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20451632256 in words is "twenty billion, four hundred fifty-one million, six hundred thirty-two thousand, two hundred fifty-six".