157819868160 has 176 divisors, whose sum is σ = 505904030016. Its totient is φ = 41991340032.

The previous prime is 157819868149. The next prime is 157819868161. The reversal of 157819868160 is 61868918751.

It is a super-2 number, since 2×157819868160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 157819868094 and 157819868103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157819868161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7008279 + ... + 7030761.

It is an arithmetic number, because the mean of its divisors is an integer number (2874454716).

Almost surely, 2^157819868160 is an apocalyptic number.

157819868160 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 157819868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252952015008).

157819868160 is an abundant number, since it is smaller than the sum of its proper divisors (348084161856).

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

157819868160 is a wasteful number, since it uses less digits than its factorization.

157819868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22968 (or 22950 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 60.

The spelling of 157819868160 in words is "one hundred fifty-seven billion, eight hundred nineteen million, eight hundred sixty-eight thousand, one hundred sixty".