150513659412480 has 2432 divisors, whose sum is σ = 667943986805760. Its totient is φ = 31701690482688.

The previous prime is 150513659412463. The next prime is 150513659412503. The reversal of 150513659412480 is 84214956315051.

150513659412480 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 1 + 3 + 6 + 594 + 1 + 2 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260855561952 + ... + 260855562528.

Almost surely, 2^{150513659412480} is an apocalyptic number.

150513659412480 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 150513659412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333971993402880).

150513659412480 is an abundant number, since it is smaller than the sum of its proper divisors (517430327393280).

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

150513659412480 is an frugal number, since it uses more digits than its factorization.

150513659412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 150513659412480 in words is "one hundred fifty trillion, five hundred thirteen billion, six hundred fifty-nine million, four hundred twelve thousand, four hundred eighty".