21136461570000 has 2000 divisors, whose sum is σ = 92692798209792. Its totient is φ = 4543672320000.

The previous prime is 21136461569999. The next prime is 21136461570013. The reversal of 21136461570000 is 7516463112.

21136461570000 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 646 + 1 + 5 + 7 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 7955008672 + ... + 7955011328.

Almost surely, 2^{21136461570000} is an apocalyptic number.

21136461570000 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 21136461570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46346399104896).

21136461570000 is an abundant number, since it is smaller than the sum of its proper divisors (71556336639792).

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

21136461570000 is a wasteful number, since it uses less digits than its factorization.

21136461570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21136461570000 in words is "twenty-one trillion, one hundred thirty-six billion, four hundred sixty-one million, five hundred seventy thousand".