15027973680000 has 640 divisors, whose sum is σ = 53261681806080. Its totient is φ = 3744018432000.

The previous prime is 15027973679989. The next prime is 15027973680011. The reversal of 15027973680000 is 8637972051.

It is an interprime number because it is at equal distance from previous prime (15027973679989) and next prime (15027973680011).

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237328344 + ... + 237391656.

It is an arithmetic number, because the mean of its divisors is an integer number (83221377822).

Almost surely, 2^{15027973680000} is an apocalyptic number.

15027973680000 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 15027973680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26630840903040).

15027973680000 is an abundant number, since it is smaller than the sum of its proper divisors (38233708126080).

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

15027973680000 is an equidigital number, since it uses as much as digits as its factorization.

15027973680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63416 (or 63389 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 15027973680000 in words is "fifteen trillion, twenty-seven billion, nine hundred seventy-three million, six hundred eighty thousand".