21237027504 has 240 divisors, whose sum is σ = 72974329344. Its totient is φ = 5191464960.

The previous prime is 21237027481. The next prime is 21237027509. The reversal of 21237027504 is 40572073212.

It is a super-2 number, since 2×21237027504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21237027509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675789 + ... + 706515.

Almost surely, 2^21237027504 is an apocalyptic number.

21237027504 is a gapful number since it is divisible by the number (24) 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 21237027504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36487164672).

21237027504 is an abundant number, since it is smaller than the sum of its proper divisors (51737301840).

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

21237027504 is a wasteful number, since it uses less digits than its factorization.

21237027504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30784 (or 30767 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 21237027504 in words is "twenty-one billion, two hundred thirty-seven million, twenty-seven thousand, five hundred four".