20523731400 has 288 divisors, whose sum is σ = 71743220640. Its totient is φ = 5452738560.

The previous prime is 20523731357. The next prime is 20523731407. The reversal of 20523731400 is 413732502.

20523731400 is a `hidden beast` number, since 20 + 5 + 237 + 3 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20523731407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16863592 + ... + 16864808.

It is an arithmetic number, because the mean of its divisors is an integer number (249108405).

Almost surely, 2^20523731400 is an apocalyptic number.

20523731400 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 20523731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35871610320).

20523731400 is an abundant number, since it is smaller than the sum of its proper divisors (51219489240).

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

20523731400 is a wasteful number, since it uses less digits than its factorization.

20523731400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 20523731400 in words is "twenty billion, five hundred twenty-three million, seven hundred thirty-one thousand, four hundred".