20756282400 has 648 divisors, whose sum is σ = 88335439920. Its totient is φ = 4742115840.

The previous prime is 20756282387. The next prime is 20756282429. The reversal of 20756282400 is 428265702.

20756282400 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 628 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9524511 + ... + 9526689.

Almost surely, 2^20756282400 is an apocalyptic number.

20756282400 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 20756282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44167719960).

20756282400 is an abundant number, since it is smaller than the sum of its proper divisors (67579157520).

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

20756282400 is a wasteful number, since it uses less digits than its factorization.

20756282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20756282400 in words is "twenty billion, seven hundred fifty-six million, two hundred eighty-two thousand, four hundred".