157956654960 has 800 divisors, whose sum is σ = 611842714560. Its totient is φ = 37523865600.

The previous prime is 157956654959. The next prime is 157956654967. The reversal of 157956654960 is 69456659751.

157956654960 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 566 + 5 + 4 + 9 + 60 = 666.

157956654960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157956654967) by changing a digit.

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, 303179500 + ... + 303180020.

Almost surely, 2^157956654960 is an apocalyptic number.

157956654960 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 157956654960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305921357280).

157956654960 is an abundant number, since it is smaller than the sum of its proper divisors (453886059600).

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

157956654960 is a wasteful number, since it uses less digits than its factorization.

157956654960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

It can be divided in two parts, 15795665 and 4960, that added together give a square (15800625 = 3975²).

The spelling of 157956654960 in words is "one hundred fifty-seven billion, nine hundred fifty-six million, six hundred fifty-four thousand, nine hundred sixty".