21137398682400 has 3456 divisors, whose sum is σ = 104563227525120. Its totient is φ = 3875807232000.

The previous prime is 21137398682399. The next prime is 21137398682423. The reversal of 21137398682400 is 428689373112.

It is a happy number.

21137398682400 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 7 + 398 + 6 + 8 + 240 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19884664269 + ... + 19884665331.

It is an arithmetic number, because the mean of its divisors is an integer number (30255563520).

Almost surely, 2^{21137398682400} is an apocalyptic number.

21137398682400 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 21137398682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52281613762560).

21137398682400 is an abundant number, since it is smaller than the sum of its proper divisors (83425828842720).

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

21137398682400 is a wasteful number, since it uses less digits than its factorization.

21137398682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21137398682400 in words is "twenty-one trillion, one hundred thirty-seven billion, three hundred ninety-eight million, six hundred eighty-two thousand, four hundred".