20946875400 has 960 divisors, whose sum is σ = 84392098560. Its totient is φ = 4769280000.

The previous prime is 20946875371. The next prime is 20946875407. The reversal of 20946875400 is 457864902.

It is a happy number.

20946875400 is a `hidden beast` number, since 20 + 9 + 4 + 6 + 87 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20946875407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 343391370 + ... + 343391430.

It is an arithmetic number, because the mean of its divisors is an integer number (87908436).

Almost surely, 2^20946875400 is an apocalyptic number.

20946875400 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 20946875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42196049280).

20946875400 is an abundant number, since it is smaller than the sum of its proper divisors (63445223160).

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

20946875400 is a wasteful number, since it uses less digits than its factorization.

20946875400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20946875400 in words is "twenty billion, nine hundred forty-six million, eight hundred seventy-five thousand, four hundred".