21895412696640 has 672 divisors, whose sum is σ = 88590842156544. Its totient is φ = 4858673725440.

The previous prime is 21895412696629. The next prime is 21895412696659. The reversal of 21895412696640 is 4669621459812.

21895412696640 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 541 + 26 + 9 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340853325 + ... + 340917555.

It is an arithmetic number, because the mean of its divisors is an integer number (131831610352).

Almost surely, 2^{21895412696640} is an apocalyptic number.

21895412696640 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 21895412696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44295421078272).

21895412696640 is an abundant number, since it is smaller than the sum of its proper divisors (66695429459904).

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

21895412696640 is a wasteful number, since it uses less digits than its factorization.

21895412696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64755 (or 64742 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 21895412696640 in words is "twenty-one trillion, eight hundred ninety-five billion, four hundred twelve million, six hundred ninety-six thousand, six hundred forty".