20788862400 has 252 divisors, whose sum is σ = 75143944200. Its totient is φ = 5449512960.

The previous prime is 20788862399. The next prime is 20788862449. The reversal of 20788862400 is 426888702.

It is a happy number.

It is a super-2 number, since 2×20788862400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 837366 + ... + 861834.

Almost surely, 2^20788862400 is an apocalyptic number.

20788862400 is a gapful number since it is divisible by the number (20) 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 20788862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37571972100).

20788862400 is an abundant number, since it is smaller than the sum of its proper divisors (54355081800).

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

20788862400 is a wasteful number, since it uses less digits than its factorization.

20788862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24556 (or 24538 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20788862400 in words is "twenty billion, seven hundred eighty-eight million, eight hundred sixty-two thousand, four hundred".