157953838875840 has 2688 divisors, whose sum is σ = 669981611520000. Its totient is φ = 34103074553856.

The previous prime is 157953838875823. The next prime is 157953838875871. The reversal of 157953838875840 is 48578838359751.

157953838875840 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 538 + 3 + 8 + 8 + 75 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×157953838875840² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157953838875840.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 191924469669 + ... + 191924470491.

Almost surely, 2^{157953838875840} is an apocalyptic number.

157953838875840 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 157953838875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334990805760000).

157953838875840 is an abundant number, since it is smaller than the sum of its proper divisors (512027772644160).

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

157953838875840 is a wasteful number, since it uses less digits than its factorization.

157953838875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 8128512000, while the sum is 81.

The spelling of 157953838875840 in words is "one hundred fifty-seven trillion, nine hundred fifty-three billion, eight hundred thirty-eight million, eight hundred seventy-five thousand, eight hundred forty".