20955152400 has 480 divisors, whose sum is σ = 83322667008. Its totient is φ = 4383590400.

The previous prime is 20955152389. The next prime is 20955152401. The reversal of 20955152400 is 425155902.

It is not an unprimeable number, because it can be changed into a prime (20955152401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13867645 + ... + 13869155.

Almost surely, 2^20955152400 is an apocalyptic number.

20955152400 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 20955152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41661333504).

20955152400 is an abundant number, since it is smaller than the sum of its proper divisors (62367514608).

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

20955152400 is a wasteful number, since it uses less digits than its factorization.

20955152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 20955152400 in words is "twenty billion, nine hundred fifty-five million, one hundred fifty-two thousand, four hundred".