15380765150400 has 1008 divisors, whose sum is σ = 63785294917344. Its totient is φ = 3480427560960.

The previous prime is 15380765150381. The next prime is 15380765150441. The reversal of 15380765150400 is 405156708351.

15380765150400 is a `hidden beast` number, since 1 + 5 + 3 + 80 + 7 + 65 + 1 + 504 + 0 + 0 = 666.

It is a super-2 number, since 2×15380765150400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136787002 + ... + 136899398.

It is an arithmetic number, because the mean of its divisors is an integer number (63279062418).

Almost surely, 2^{15380765150400} is an apocalyptic number.

15380765150400 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 15380765150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31892647458672).

15380765150400 is an abundant number, since it is smaller than the sum of its proper divisors (48404529766944).

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

15380765150400 is a wasteful number, since it uses less digits than its factorization.

15380765150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112498 (or 112480 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 15380765150400 in words is "fifteen trillion, three hundred eighty billion, seven hundred sixty-five million, one hundred fifty thousand, four hundred".