20531750400 has 1440 divisors, whose sum is σ = 93087042048. Its totient is φ = 4379443200.

The previous prime is 20531750387. The next prime is 20531750411. The reversal of 20531750400 is 405713502.

It is a happy number.

20531750400 is a `hidden beast` number, since 20 + 531 + 75 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 500774380 + ... + 500774420.

Almost surely, 2^20531750400 is an apocalyptic number.

20531750400 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 20531750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46543521024).

20531750400 is an abundant number, since it is smaller than the sum of its proper divisors (72555291648).

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

20531750400 is an equidigital number, since it uses as much as digits as its factorization.

20531750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 20531750400 in words is "twenty billion, five hundred thirty-one million, seven hundred fifty thousand, four hundred".