157096063319040 has 1760 divisors, whose sum is σ = 611558272917504. Its totient is φ = 38569358131200.

The previous prime is 157096063318979. The next prime is 157096063319053. The reversal of 157096063319040 is 40913360690751.

157096063319040 is a `hidden beast` number, since 1 + 570 + 9 + 6 + 0 + 63 + 3 + 1 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×157096063319040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80520790065 + ... + 80520792015.

Almost surely, 2^{157096063319040} is an apocalyptic number.

157096063319040 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 157096063319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305779136458752).

157096063319040 is an abundant number, since it is smaller than the sum of its proper divisors (454462209598464).

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

157096063319040 is an frugal number, since it uses more digits than its factorization.

157096063319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 157096063319040 in words is "one hundred fifty-seven trillion, ninety-six billion, sixty-three million, three hundred nineteen thousand, forty".