157995085248 has 1568 divisors, whose sum is σ = 671623142400. Its totient is φ = 35473489920.

The previous prime is 157995085139. The next prime is 157995085249. The reversal of 157995085248 is 842580599751.

157995085248 is a `hidden beast` number, since 1 + 5 + 79 + 9 + 508 + 52 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157995085249) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 793945053 + ... + 793945251.

Almost surely, 2^157995085248 is an apocalyptic number.

157995085248 is a gapful number since it is divisible by the number (18) 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 157995085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335811571200).

157995085248 is an abundant number, since it is smaller than the sum of its proper divisors (513628057152).

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

157995085248 is a wasteful number, since it uses less digits than its factorization.

157995085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 157995085248 in words is "one hundred fifty-seven billion, nine hundred ninety-five million, eighty-five thousand, two hundred forty-eight".