157503284640000 has 1080 divisors, whose sum is σ = 643286545661760. Its totient is φ = 36729427968000.

The previous prime is 157503284639941. The next prime is 157503284640011. The reversal of 157503284640000 is 46482305751.

157503284640000 is a `hidden beast` number, since 1 + 5 + 7 + 503 + 2 + 84 + 64 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 355458589 + ... + 355901411.

Almost surely, 2^{157503284640000} is an apocalyptic number.

157503284640000 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 157503284640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321643272830880).

157503284640000 is an abundant number, since it is smaller than the sum of its proper divisors (485783261021760).

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

157503284640000 is a wasteful number, since it uses less digits than its factorization.

157503284640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442897 (or 442865 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 157503284640000 in words is "one hundred fifty-seven trillion, five hundred three billion, two hundred eighty-four million, six hundred forty thousand".