21164576390400 has 432 divisors, whose sum is σ = 70703583917120. Its totient is φ = 5575031193600.

The previous prime is 21164576390393. The next prime is 21164576390417. The reversal of 21164576390400 is 409367546112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21164576390400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692701524 + ... + 692732076.

Almost surely, 2^{21164576390400} is an apocalyptic number.

21164576390400 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 21164576390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35351791958560).

21164576390400 is an abundant number, since it is smaller than the sum of its proper divisors (49539007526720).

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

21164576390400 is a wasteful number, since it uses less digits than its factorization.

21164576390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31022 (or 31003 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 21164576390400 in words is "twenty-one trillion, one hundred sixty-four billion, five hundred seventy-six million, three hundred ninety thousand, four hundred".