15030187680400 has 120 divisors (see below), whose sum is σ = 36832871634624. Its totient is φ = 5891982220800.

The previous prime is 15030187680359. The next prime is 15030187680413. The reversal of 15030187680400 is 408678103051.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18404755 + ... + 19204045.

Almost surely, 2^{15030187680400} is an apocalyptic number.

15030187680400 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 15030187680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416435817312).

15030187680400 is an abundant number, since it is smaller than the sum of its proper divisors (21802683954224).

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

15030187680400 is a wasteful number, since it uses less digits than its factorization.

15030187680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800249 (or 800238 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 15030187680400 in words is "fifteen trillion, thirty billion, one hundred eighty-seven million, six hundred eighty thousand, four hundred".