21682062072 has 128 divisors (see below), whose sum is σ = 69568243200. Its totient is φ = 6183820800.

The previous prime is 21682062047. The next prime is 21682062107. The reversal of 21682062072 is 27026028612.

21682062072 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 20 + 620 + 7 + 2 = 666.

It is a super-2 number, since 2×21682062072² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228004 + ... + 308787.

It is an arithmetic number, because the mean of its divisors is an integer number (543501900).

Almost surely, 2^21682062072 is an apocalyptic number.

21682062072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21682062072 is an abundant number, since it is smaller than the sum of its proper divisors (47886181128).

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

21682062072 is a wasteful number, since it uses less digits than its factorization.

21682062072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536834 (or 536824 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21682062072 in words is "twenty-one billion, six hundred eighty-two million, sixty-two thousand, seventy-two".