15077761152 has 128 divisors (see below), whose sum is σ = 42351966720. Its totient is φ = 4745011200.

The previous prime is 15077761151. The next prime is 15077761157. The reversal of 15077761152 is 25116777051.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (15077761151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 472618 + ... + 503510.

It is an arithmetic number, because the mean of its divisors is an integer number (330874740).

Almost surely, 2^15077761152 is an apocalyptic number.

15077761152 is a gapful number since it is divisible by the number (12) 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 15077761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175983360).

15077761152 is an abundant number, since it is smaller than the sum of its proper divisors (27274205568).

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

15077761152 is a wasteful number, since it uses less digits than its factorization.

15077761152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30982 (or 30970 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 42.

The spelling of 15077761152 in words is "fifteen billion, seventy-seven million, seven hundred sixty-one thousand, one hundred fifty-two".