15082053120 has 640 divisors, whose sum is σ = 57274905600. Its totient is φ = 3753345024.

The previous prime is 15082053061. The next prime is 15082053131. The reversal of 15082053120 is 2135028051.

It is a happy number.

15082053120 is a `hidden beast` number, since 1 + 50 + 82 + 0 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84257191 + ... + 84257369.

It is an arithmetic number, because the mean of its divisors is an integer number (89492040).

Almost surely, 2^15082053120 is an apocalyptic number.

15082053120 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 15082053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28637452800).

15082053120 is an abundant number, since it is smaller than the sum of its proper divisors (42192852480).

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

15082053120 is a wasteful number, since it uses less digits than its factorization.

15082053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 15082053120 in words is "fifteen billion, eighty-two million, fifty-three thousand, one hundred twenty".