1513999872000 has 2496 divisors, whose sum is σ = 7233511154688. Its totient is φ = 294912000000.

The previous prime is 1513999871987. The next prime is 1513999872071. The reversal of 1513999872000 is 2789993151.

1513999872000 is a `hidden beast` number, since 151 + 399 + 9 + 87 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×1513999872000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6031871875 + ... + 6031872125.

It is an arithmetic number, because the mean of its divisors is an integer number (2898041328).

Almost surely, 2^{1513999872000} is an apocalyptic number.

1513999872000 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 1513999872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616755577344).

1513999872000 is an abundant number, since it is smaller than the sum of its proper divisors (5719511282688).

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

1513999872000 is a wasteful number, since it uses less digits than its factorization.

1513999872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1513999872000 in words is "one trillion, five hundred thirteen billion, nine hundred ninety-nine million, eight hundred seventy-two thousand".