15230133959040 has 2048 divisors, whose sum is σ = 74761872998400. Its totient is φ = 2826930585600.

The previous prime is 15230133958999. The next prime is 15230133959083. The reversal of 15230133959040 is 4095933103251.

15230133959040 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 0 + 13 + 3 + 9 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 536201479 + ... + 536229881.

It is an arithmetic number, because the mean of its divisors is an integer number (36504820800).

Almost surely, 2^{15230133959040} is an apocalyptic number.

15230133959040 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 15230133959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37380936499200).

15230133959040 is an abundant number, since it is smaller than the sum of its proper divisors (59531739039360).

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

15230133959040 is a wasteful number, since it uses less digits than its factorization.

15230133959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28493 (or 28475 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 15230133959040 in words is "fifteen trillion, two hundred thirty billion, one hundred thirty-three million, nine hundred fifty-nine thousand, forty".