21739253760 has 936 divisors, whose sum is σ = 91771308720. Its totient is φ = 4739825664.

The previous prime is 21739253707. The next prime is 21739253771. The reversal of 21739253760 is 6735293712.

21739253760 is a `hidden beast` number, since 21 + 7 + 3 + 92 + 537 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261918679 + ... + 261918761.

It is an arithmetic number, because the mean of its divisors is an integer number (98046270).

Almost surely, 2^21739253760 is an apocalyptic number.

21739253760 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 21739253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45885654360).

21739253760 is an abundant number, since it is smaller than the sum of its proper divisors (70032054960).

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

21739253760 is a wasteful number, since it uses less digits than its factorization.

21739253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 21739253760 in words is "twenty-one billion, seven hundred thirty-nine million, two hundred fifty-three thousand, seven hundred sixty".