21700700650944 has 252 divisors, whose sum is σ = 72835624384848. Its totient is φ = 6159138048000.

The previous prime is 21700700650901. The next prime is 21700700650973. The reversal of 21700700650944 is 44905600700712.

21700700650944 is a `hidden beast` number, since 2 + 1 + 70 + 0 + 70 + 0 + 6 + 509 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×21700700650944² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21700700650944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1715884 + ... + 6807764.

Almost surely, 2^{21700700650944} is an apocalyptic number.

21700700650944 is a gapful number since it is divisible by the number (24) 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 21700700650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36417812192424).

21700700650944 is an abundant number, since it is smaller than the sum of its proper divisors (51134923733904).

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

21700700650944 is a wasteful number, since it uses less digits than its factorization.

21700700650944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092064 (or 5092044 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 21700700650944 in words is "twenty-one trillion, seven hundred billion, seven hundred million, six hundred fifty thousand, nine hundred forty-four".