20272652400 has 720 divisors, whose sum is σ = 88786067328. Its totient is φ = 3886848000.

The previous prime is 20272652369. The next prime is 20272652437. The reversal of 20272652400 is 425627202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8407195 + ... + 8409605.

Almost surely, 2^20272652400 is an apocalyptic number.

20272652400 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 20272652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44393033664).

20272652400 is an abundant number, since it is smaller than the sum of its proper divisors (68513414928).

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

20272652400 is a wasteful number, since it uses less digits than its factorization.

20272652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 20272652400 in words is "twenty billion, two hundred seventy-two million, six hundred fifty-two thousand, four hundred".