13752777504 has 384 divisors, whose sum is σ = 42138206208. Its totient is φ = 3900948480.

The previous prime is 13752777463. The next prime is 13752777551. The reversal of 13752777504 is 40577725731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61671537 + ... + 61671759.

It is an arithmetic number, because the mean of its divisors is an integer number (109734912).

Almost surely, 2^13752777504 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 13752777504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21069103104).

13752777504 is an abundant number, since it is smaller than the sum of its proper divisors (28385428704).

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

13752777504 is a wasteful number, since it uses less digits than its factorization.

13752777504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1440600, while the sum is 48.

The spelling of 13752777504 in words is "thirteen billion, seven hundred fifty-two million, seven hundred seventy-seven thousand, five hundred four".