157217448960 has 1320 divisors, whose sum is σ = 669652517688. Its totient is φ = 35035545600.

The previous prime is 157217448943. The next prime is 157217449019. The reversal of 157217448960 is 69844712751.

157217448960 is a `hidden beast` number, since 1 + 572 + 1 + 7 + 4 + 4 + 8 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10277093376 + 146940355584 = 101376^2 + 383328^2 .

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a junction number, because it is equal to n+sod(n) for n = 157217448897 and 157217448906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 652354440 + ... + 652354680.

Almost surely, 2^157217448960 is an apocalyptic number.

157217448960 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 157217448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334826258844).

157217448960 is an abundant number, since it is smaller than the sum of its proper divisors (512435068728).

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

157217448960 is a wasteful number, since it uses less digits than its factorization.

157217448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 157217448960 in words is "one hundred fifty-seven billion, two hundred seventeen million, four hundred forty-eight thousand, nine hundred sixty".