60171145920 has 448 divisors, whose sum is σ = 218584759680. Its totient is φ = 15575040000.

The previous prime is 60171145913. The next prime is 60171145927. The reversal of 60171145920 is 2954117106.

60171145920 is a `hidden beast` number, since 60 + 1 + 7 + 1 + 1 + 4 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60171145913) and next prime (60171145927).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (60171145927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46249270 + ... + 46250570.

It is an arithmetic number, because the mean of its divisors is an integer number (487912410).

Almost surely, 2^60171145920 is an apocalyptic number.

60171145920 is a gapful number since it is divisible by the number (60) 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 60171145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109292379840).

60171145920 is an abundant number, since it is smaller than the sum of its proper divisors (158413613760).

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

60171145920 is a wasteful number, since it uses less digits than its factorization.

60171145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 60171145920 in words is "sixty billion, one hundred seventy-one million, one hundred forty-five thousand, nine hundred twenty".