20956149600 has 144 divisors (see below), whose sum is σ = 69876308880. Its totient is φ = 5451980800.

The previous prime is 20956149593. The next prime is 20956149601. The reversal of 20956149600 is 694165902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20956149601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8085 + ... + 204884.

It is an arithmetic number, because the mean of its divisors is an integer number (485252145).

Almost surely, 2^20956149600 is an apocalyptic number.

20956149600 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 20956149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34938154440).

20956149600 is an abundant number, since it is smaller than the sum of its proper divisors (48920159280).

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

20956149600 is a wasteful number, since it uses less digits than its factorization.

20956149600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213033 (or 213020 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 20956149600 in words is "twenty billion, nine hundred fifty-six million, one hundred forty-nine thousand, six hundred".