15177138480 has 840 divisors, whose sum is σ = 63409459392. Its totient is φ = 3365203968.

The previous prime is 15177138451. The next prime is 15177138499. The reversal of 15177138480 is 8483177151.

15177138480 is a `hidden beast` number, since 151 + 7 + 7 + 13 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 134310904 + ... + 134311016.

Almost surely, 2^15177138480 is an apocalyptic number.

15177138480 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 15177138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31704729696).

15177138480 is an abundant number, since it is smaller than the sum of its proper divisors (48232320912).

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

15177138480 is a wasteful number, since it uses less digits than its factorization.

15177138480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 15177138480 in words is "fifteen billion, one hundred seventy-seven million, one hundred thirty-eight thousand, four hundred eighty".