157994948160 has 1344 divisors, whose sum is σ = 686893768704. Its totient is φ = 32514048000.

The previous prime is 157994948129. The next prime is 157994948171. The reversal of 157994948160 is 61849499751.

157994948160 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 9 + 494 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1046324085 + ... + 1046324235.

Almost surely, 2^157994948160 is an apocalyptic number.

157994948160 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 157994948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343446884352).

157994948160 is an abundant number, since it is smaller than the sum of its proper divisors (528898820544).

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

157994948160 is a wasteful number, since it uses less digits than its factorization.

157994948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 157994948160 in words is "one hundred fifty-seven billion, nine hundred ninety-four million, nine hundred forty-eight thousand, one hundred sixty".