21751310268900 has 81 divisors (see below), whose sum is σ = 68178712190043. Its totient is φ = 5800312094400.

The previous prime is 21751310268713. The next prime is 21751310268943. The reversal of 21751310268900 is 986201315712.

The square root of 21751310268900 is 4663830.

It is a perfect power (a square), and thus also a powerful number.

21751310268900 is a `hidden beast` number, since 2 + 1 + 75 + 1 + 310 + 268 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6282632484324 + 15468677784576 = 2506518^2 + 3933024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139837170 + ... + 139992630.

Almost surely, 2^{21751310268900} is an apocalyptic number.

21751310268900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21751310268900 is the 4663830-th square number.

It is an amenable number.

21751310268900 is an abundant number, since it is smaller than the sum of its proper divisors (46427401921143).

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

21751310268900 is an frugal number, since it uses more digits than its factorization.

21751310268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310942 (or 155471 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 21751310268900 in words is "twenty-one trillion, seven hundred fifty-one billion, three hundred ten million, two hundred sixty-eight thousand, nine hundred".