21377809051200 has 1344 divisors, whose sum is σ = 93862514636800. Its totient is φ = 4623646924800.

The previous prime is 21377809051199. The next prime is 21377809051217. The reversal of 21377809051200 is 215090877312.

21377809051200 is a `hidden beast` number, since 21 + 37 + 7 + 80 + 9 + 0 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6417833535 + ... + 6417836865.

Almost surely, 2^{21377809051200} is an apocalyptic number.

21377809051200 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 21377809051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46931257318400).

21377809051200 is an abundant number, since it is smaller than the sum of its proper divisors (72484705585600).

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

21377809051200 is a wasteful number, since it uses less digits than its factorization.

21377809051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 21377809051200 in words is "twenty-one trillion, three hundred seventy-seven billion, eight hundred nine million, fifty-one thousand, two hundred".