13872772368 has 640 divisors, whose sum is σ = 52129996800. Its totient is φ = 3432388608.

The previous prime is 13872772349. The next prime is 13872772373. The reversal of 13872772368 is 86327727831.

It is a happy number.

13872772368 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 277 + 2 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60579678 + ... + 60579906.

It is an arithmetic number, because the mean of its divisors is an integer number (81453120).

Almost surely, 2^13872772368 is an apocalyptic number.

13872772368 is a gapful number since it is divisible by the number (18) 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 13872772368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26064998400).

13872772368 is an abundant number, since it is smaller than the sum of its proper divisors (38257224432).

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

13872772368 is a wasteful number, since it uses less digits than its factorization.

13872772368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 13872772368 in words is "thirteen billion, eight hundred seventy-two million, seven hundred seventy-two thousand, three hundred sixty-eight".