20957266800 has 360 divisors, whose sum is σ = 77279299344. Its totient is φ = 5241200640.

The previous prime is 20957266777. The next prime is 20957266871. The reversal of 20957266800 is 866275902.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 27111214 + ... + 27111986.

Almost surely, 2^20957266800 is an apocalyptic number.

20957266800 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 20957266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38639649672).

20957266800 is an abundant number, since it is smaller than the sum of its proper divisors (56322032544).

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

20957266800 is a wasteful number, since it uses less digits than its factorization.

20957266800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20957266800 in words is "twenty billion, nine hundred fifty-seven million, two hundred sixty-six thousand, eight hundred".