15488873252160 has 672 divisors, whose sum is σ = 62622773342976. Its totient is φ = 3174366412800.

The previous prime is 15488873252131. The next prime is 15488873252207. The reversal of 15488873252160 is 6125237888451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 15488873252094 and 15488873252103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59227290 + ... + 59488230.

It is an arithmetic number, because the mean of its divisors is an integer number (93188650808).

Almost surely, 2^{15488873252160} is an apocalyptic number.

15488873252160 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 15488873252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31311386671488).

15488873252160 is an abundant number, since it is smaller than the sum of its proper divisors (47133900090816).

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

15488873252160 is a wasteful number, since it uses less digits than its factorization.

15488873252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261063 (or 261042 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 15488873252160 in words is "fifteen trillion, four hundred eighty-eight billion, eight hundred seventy-three million, two hundred fifty-two thousand, one hundred sixty".