21395005632 has 1680 divisors, whose sum is σ = 94178810880. Its totient is φ = 4702924800.

The previous prime is 21395005627. The next prime is 21395005661. The reversal of 21395005632 is 23650059312.

21395005632 is a `hidden beast` number, since 2 + 1 + 3 + 95 + 0 + 0 + 563 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 690161457 + ... + 690161487.

It is an arithmetic number, because the mean of its divisors is an integer number (56058816).

Almost surely, 2^21395005632 is an apocalyptic number.

21395005632 is a gapful number since it is divisible by the number (22) 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 21395005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47089405440).

21395005632 is an abundant number, since it is smaller than the sum of its proper divisors (72783805248).

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

21395005632 is a wasteful number, since it uses less digits than its factorization.

21395005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 21395005632 in words is "twenty-one billion, three hundred ninety-five million, five thousand, six hundred thirty-two".