152971473198960 has 800 divisors, whose sum is σ = 606390576644160. Its totient is φ = 35406038532096.

The previous prime is 152971473198923. The next prime is 152971473198961. The reversal of 152971473198960 is 69891374179251.

152971473198960 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 7 + 1 + 473 + 1 + 98 + 9 + 60 = 666.

It is a super-2 number, since 2×152971473198960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152971473198961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1530843559 + ... + 1530943481.

It is a 1-persistent number, because it is pandigital, but 2⋅152971473198960 = 305942946397920 is not.

Almost surely, 2^{152971473198960} is an apocalyptic number.

152971473198960 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 152971473198960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303195288322080).

152971473198960 is an abundant number, since it is smaller than the sum of its proper divisors (453419103445200).

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

152971473198960 is a wasteful number, since it uses less digits than its factorization.

152971473198960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101047 (or 101032 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 152971473198960 in words is "one hundred fifty-two trillion, nine hundred seventy-one billion, four hundred seventy-three million, one hundred ninety-eight thousand, nine hundred sixty".