21010635676800 has 1152 divisors, whose sum is σ = 95378087376000. Its totient is φ = 4365823795200.

The previous prime is 21010635676757. The next prime is 21010635676813. The reversal of 21010635676800 is 867653601012.

21010635676800 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 0 + 6 + 3 + 567 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 108565722 + ... + 108759078.

It is an arithmetic number, because the mean of its divisors is an integer number (82793478625).

Almost surely, 2^{21010635676800} is an apocalyptic number.

21010635676800 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 21010635676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47689043688000).

21010635676800 is an abundant number, since it is smaller than the sum of its proper divisors (74367451699200).

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

21010635676800 is a wasteful number, since it uses less digits than its factorization.

21010635676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193419 (or 193385 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21010635676800 in words is "twenty-one trillion, ten billion, six hundred thirty-five million, six hundred seventy-six thousand, eight hundred".