21072866192400 has 480 divisors, whose sum is σ = 74924750937600. Its totient is φ = 5019538636800.

The previous prime is 21072866192381. The next prime is 21072866192449. The reversal of 21072866192400 is 429166827012.

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 21072866192400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1977367872 + ... + 1977378528.

It is an arithmetic number, because the mean of its divisors is an integer number (156093231120).

Almost surely, 2^{21072866192400} is an apocalyptic number.

21072866192400 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 21072866192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37462375468800).

21072866192400 is an abundant number, since it is smaller than the sum of its proper divisors (53851884745200).

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

21072866192400 is a wasteful number, since it uses less digits than its factorization.

21072866192400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 21072866192400 in words is "twenty-one trillion, seventy-two billion, eight hundred sixty-six million, one hundred ninety-two thousand, four hundred".