157724489986560 has 6400 divisors, whose sum is σ = 745141939863552. Its totient is φ = 31060603699200.

The previous prime is 157724489986549. The next prime is 157724489986589. The reversal of 157724489986560 is 65689984427751.

157724489986560 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 2 + 4 + 48 + 9 + 9 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 157724489986560.

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 639 ways as a sum of consecutive naturals, for example, 1474060654027 + ... + 1474060654133.

Almost surely, 2^{157724489986560} is an apocalyptic number.

157724489986560 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 157724489986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372570969931776).

157724489986560 is an abundant number, since it is smaller than the sum of its proper divisors (587417449876992).

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

157724489986560 is a wasteful number, since it uses less digits than its factorization.

157724489986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 157724489986560 in words is "one hundred fifty-seven trillion, seven hundred twenty-four billion, four hundred eighty-nine million, nine hundred eighty-six thousand, five hundred sixty".