20513471760400 has 240 divisors, whose sum is σ = 50588033658624. Its totient is φ = 7989456867840.

The previous prime is 20513471760337. The next prime is 20513471760401. The reversal of 20513471760400 is 406717431502.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (20513471760401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11742112327 + ... + 11742114073.

Almost surely, 2^{20513471760400} is an apocalyptic number.

20513471760400 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 20513471760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25294016829312).

20513471760400 is an abundant number, since it is smaller than the sum of its proper divisors (30074561898224).

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

20513471760400 is a wasteful number, since it uses less digits than its factorization.

20513471760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 20513471760400 in words is "twenty trillion, five hundred thirteen billion, four hundred seventy-one million, seven hundred sixty thousand, four hundred".