20715122400 has 864 divisors, whose sum is σ = 84354600960. Its totient is φ = 4389396480.

The previous prime is 20715122359. The next prime is 20715122447. The reversal of 20715122400 is 422151702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163111137 + ... + 163111263.

It is an arithmetic number, because the mean of its divisors is an integer number (97632640).

Almost surely, 2^20715122400 is an apocalyptic number.

20715122400 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 20715122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42177300480).

20715122400 is an abundant number, since it is smaller than the sum of its proper divisors (63639478560).

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

20715122400 is a wasteful number, since it uses less digits than its factorization.

20715122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 20715122400 in words is "twenty billion, seven hundred fifteen million, one hundred twenty-two thousand, four hundred".