21000077572800 has 336 divisors, whose sum is σ = 69077228774400. Its totient is φ = 5585452032000.

The previous prime is 21000077572757. The next prime is 21000077572829. The reversal of 21000077572800 is 827577000012.

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, 3805048441 + ... + 3805053959.

It is an arithmetic number, because the mean of its divisors is an integer number (205586990400).

Almost surely, 2^{21000077572800} is an apocalyptic number.

21000077572800 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 21000077572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34538614387200).

21000077572800 is an abundant number, since it is smaller than the sum of its proper divisors (48077151201600).

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

21000077572800 is a wasteful number, since it uses less digits than its factorization.

21000077572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7464 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The spelling of 21000077572800 in words is "twenty-one trillion, seventy-seven million, five hundred seventy-two thousand, eight hundred".