20725022102400 has 4032 divisors, whose sum is σ = 102264439969440. Its totient is φ = 4046605516800.

The previous prime is 20725022102371. The next prime is 20725022102467. The reversal of 20725022102400 is 420122052702.

20725022102400 is a `hidden beast` number, since 2 + 0 + 7 + 250 + 2 + 2 + 1 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×20725022102400² (a number of 27 digits) contains 22 as substring.

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 503 ways as a sum of consecutive naturals, for example, 33589986892 + ... + 33589987508.

Almost surely, 2^{20725022102400} is an apocalyptic number.

20725022102400 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 20725022102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51132219984720).

20725022102400 is an abundant number, since it is smaller than the sum of its proper divisors (81539417867040).

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

20725022102400 is a wasteful number, since it uses less digits than its factorization.

20725022102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 20725022102400 in words is "twenty trillion, seven hundred twenty-five billion, twenty-two million, one hundred two thousand, four hundred".