157684216320 has 560 divisors, whose sum is σ = 596817872640. Its totient is φ = 39827054592.

The previous prime is 157684216309. The next prime is 157684216321. The reversal of 157684216320 is 23612486751.

157684216320 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 8 + 4 + 2 + 1 + 632 + 0 = 666.

It is a super-3 number, since 3×157684216320³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (157684216321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35456337 + ... + 35460783.

Almost surely, 2^157684216320 is an apocalyptic number.

157684216320 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 157684216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298408936320).

157684216320 is an abundant number, since it is smaller than the sum of its proper divisors (439133656320).

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

157684216320 is an frugal number, since it uses more digits than its factorization.

157684216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 157684216320 in words is "one hundred fifty-seven billion, six hundred eighty-four million, two hundred sixteen thousand, three hundred twenty".