153507987360 has 1728 divisors, whose sum is σ = 708283989504. Its totient is φ = 29415260160.

The previous prime is 153507987349. The next prime is 153507987379. The reversal of 153507987360 is 63789705351.

153507987360 is a `hidden beast` number, since 1 + 5 + 3 + 507 + 9 + 8 + 73 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 153507987297 and 153507987306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2896377094 + ... + 2896377146.

It is an arithmetic number, because the mean of its divisors is an integer number (409886568).

Almost surely, 2^153507987360 is an apocalyptic number.

153507987360 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 153507987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354141994752).

153507987360 is an abundant number, since it is smaller than the sum of its proper divisors (554776002144).

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

153507987360 is a wasteful number, since it uses less digits than its factorization.

153507987360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 153507987360 in words is "one hundred fifty-three billion, five hundred seven million, nine hundred eighty-seven thousand, three hundred sixty".