13752415980 has 384 divisors, whose sum is σ = 45447413760. Its totient is φ = 3448811520.

The previous prime is 13752415949. The next prime is 13752415981. The reversal of 13752415980 is 8951425731.

13752415980 is a `hidden beast` number, since 1 + 3 + 7 + 52 + 4 + 1 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13752415981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108286677 + ... + 108286803.

It is an arithmetic number, because the mean of its divisors is an integer number (118352640).

Almost surely, 2^13752415980 is an apocalyptic number.

13752415980 is a gapful number since it is divisible by the number (10) 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 13752415980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22723706880).

13752415980 is an abundant number, since it is smaller than the sum of its proper divisors (31694997780).

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

13752415980 is a wasteful number, since it uses less digits than its factorization.

13752415980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13752415980 in words is "thirteen billion, seven hundred fifty-two million, four hundred fifteen thousand, nine hundred eighty".