21377365711600 has 120 divisors (see below), whose sum is σ = 52255625760720. Its totient is φ = 8401828700160.

The previous prime is 21377365711531. The next prime is 21377365711607. The reversal of 21377365711600 is 611756377312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21377365711607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47376654 + ... + 47825746.

It is an arithmetic number, because the mean of its divisors is an integer number (435463548006).

Almost surely, 2^{21377365711600} is an apocalyptic number.

21377365711600 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 21377365711600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127812880360).

21377365711600 is an abundant number, since it is smaller than the sum of its proper divisors (30878260049120).

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

21377365711600 is a wasteful number, since it uses less digits than its factorization.

21377365711600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451187 (or 451176 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 49.

The spelling of 21377365711600 in words is "twenty-one trillion, three hundred seventy-seven billion, three hundred sixty-five million, seven hundred eleven thousand, six hundred".