20750336870400 has 2592 divisors, whose sum is σ = 85115099160000. Its totient is φ = 5003075911680.

The previous prime is 20750336870369. The next prime is 20750336870411. The reversal of 20750336870400 is 407863305702.

20750336870400 is a `hidden beast` number, since 2 + 0 + 7 + 503 + 36 + 8 + 70 + 40 + 0 = 666.

20750336870400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 104273049501 + ... + 104273049699.

Almost surely, 2^{20750336870400} is an apocalyptic number.

20750336870400 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 20750336870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42557549580000).

20750336870400 is an abundant number, since it is smaller than the sum of its proper divisors (64364762289600).

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

20750336870400 is a wasteful number, since it uses less digits than its factorization.

20750336870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 20750336870400 in words is "twenty trillion, seven hundred fifty billion, three hundred thirty-six million, eight hundred seventy thousand, four hundred".