21613703132700 has 1296 divisors, whose sum is σ = 82841461807104. Its totient is φ = 4694926924800.

The previous prime is 21613703132639. The next prime is 21613703132713. The reversal of 21613703132700 is 723130731612.

21613703132700 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 3 + 70 + 313 + 270 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17557841085 + ... + 17557842315.

It is an arithmetic number, because the mean of its divisors is an integer number (63920881024).

Almost surely, 2^{21613703132700} is an apocalyptic number.

21613703132700 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 21613703132700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41420730903552).

21613703132700 is an abundant number, since it is smaller than the sum of its proper divisors (61227758674404).

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

21613703132700 is a wasteful number, since it uses less digits than its factorization.

21613703132700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 21613703132700 in words is "twenty-one trillion, six hundred thirteen billion, seven hundred three million, one hundred thirty-two thousand, seven hundred".