157408810846560 has 1536 divisors, whose sum is σ = 690209023795200. Its totient is φ = 32618530897920.

The previous prime is 157408810846543. The next prime is 157408810846561. The reversal of 157408810846560 is 65648018804751.

It is a happy number.

157408810846560 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 0 + 8 + 8 + 108 + 465 + 60 = 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 (157408810846561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17433688126 + ... + 17433697154.

It is an arithmetic number, because the mean of its divisors is an integer number (449354833200).

Almost surely, 2^{157408810846560} is an apocalyptic number.

157408810846560 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 157408810846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345104511897600).

157408810846560 is an abundant number, since it is smaller than the sum of its proper divisors (532800212948640).

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

157408810846560 is a wasteful number, since it uses less digits than its factorization.

157408810846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 157408810846560 in words is "one hundred fifty-seven trillion, four hundred eight billion, eight hundred ten million, eight hundred forty-six thousand, five hundred sixty".