157684320000 has 900 divisors, whose sum is σ = 614248939920. Its totient is φ = 40220928000.

The previous prime is 157684319999. The next prime is 157684320011. The reversal of 157684320000 is 23486751.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

157684320000 is a `hidden beast` number, since 1 + 576 + 84 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6900 × 4140 × 5520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6855839989 + ... + 6855840011.

Almost surely, 2^157684320000 is an apocalyptic number.

157684320000 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 157684320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307124469960).

157684320000 is an abundant number, since it is smaller than the sum of its proper divisors (456564619920).

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

157684320000 is an frugal number, since it uses more digits than its factorization.

157684320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 157684320000 in words is "one hundred fifty-seven billion, six hundred eighty-four million, three hundred twenty thousand".