21255379072704 has 224 divisors, whose sum is σ = 71826377495040. Its totient is φ = 6037861008384.

The previous prime is 21255379072651. The next prime is 21255379072787. The reversal of 21255379072704 is 40727097355212.

21255379072704 is a `hidden beast` number, since 2 + 1 + 255 + 37 + 90 + 7 + 270 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×21255379072704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2986074 + ... + 7171289.

It is an arithmetic number, because the mean of its divisors is an integer number (320653470960).

Almost surely, 2^{21255379072704} is an apocalyptic number.

21255379072704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21255379072704 is an abundant number, since it is smaller than the sum of its proper divisors (50570998422336).

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

21255379072704 is a wasteful number, since it uses less digits than its factorization.

21255379072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10157564 (or 10157548 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 21255379072704 in words is "twenty-one trillion, two hundred fifty-five billion, three hundred seventy-nine million, seventy-two thousand, seven hundred four".