20957099033700 has 1008 divisors, whose sum is σ = 75494143065600. Its totient is φ = 5026418841600.

The previous prime is 20957099033677. The next prime is 20957099033747. The reversal of 20957099033700 is 733099075902.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2275714696 + ... + 2275723904.

It is an arithmetic number, because the mean of its divisors is an integer number (74894983200).

Almost surely, 2^{20957099033700} is an apocalyptic number.

20957099033700 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 20957099033700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37747071532800).

20957099033700 is an abundant number, since it is smaller than the sum of its proper divisors (54537044031900).

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

20957099033700 is a wasteful number, since it uses less digits than its factorization.

20957099033700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 54.

The spelling of 20957099033700 in words is "twenty trillion, nine hundred fifty-seven billion, ninety-nine million, thirty-three thousand, seven hundred".