20542524400 has 120 divisors (see below), whose sum is σ = 50402358864. Its totient is φ = 8043110400.

The previous prime is 20542524371. The next prime is 20542524433. The reversal of 20542524400 is 442524502.

It is a congruent number.

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, 12104352 + ... + 12106048.

Almost surely, 2^20542524400 is an apocalyptic number.

20542524400 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 20542524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25201179432).

20542524400 is an abundant number, since it is smaller than the sum of its proper divisors (29859834464).

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

20542524400 is a wasteful number, since it uses less digits than its factorization.

20542524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The spelling of 20542524400 in words is "twenty billion, five hundred forty-two million, five hundred twenty-four thousand, four hundred".