21752042400 has 576 divisors, whose sum is σ = 86934435840. Its totient is φ = 5204966400.

The previous prime is 21752042387. The next prime is 21752042489. The reversal of 21752042400 is 424025712.

21752042400 is a `hidden beast` number, since 217 + 5 + 2 + 0 + 42 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19720249 + ... + 19721351.

It is an arithmetic number, because the mean of its divisors is an integer number (150927840).

Almost surely, 2^21752042400 is an apocalyptic number.

21752042400 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 21752042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43467217920).

21752042400 is an abundant number, since it is smaller than the sum of its proper divisors (65182393440).

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

21752042400 is a wasteful number, since it uses less digits than its factorization.

21752042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 21752042400 in words is "twenty-one billion, seven hundred fifty-two million, forty-two thousand, four hundred".