21877266432 has 384 divisors, whose sum is σ = 70195507200. Its totient is φ = 5927731200.

The previous prime is 21877266419. The next prime is 21877266451. The reversal of 21877266432 is 23466277812.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×21877266432² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 81327994 + ... + 81328262.

It is an arithmetic number, because the mean of its divisors is an integer number (182800800).

Almost surely, 2^21877266432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21877266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097753600).

21877266432 is an abundant number, since it is smaller than the sum of its proper divisors (48318240768).

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

21877266432 is a wasteful number, since it uses less digits than its factorization.

21877266432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 21877266432 in words is "twenty-one billion, eight hundred seventy-seven million, two hundred sixty-six thousand, four hundred thirty-two".