172481771520 has 384 divisors, whose sum is σ = 649202299200. Its totient is φ = 43288363008.

The previous prime is 172481771459. The next prime is 172481771543. The reversal of 172481771520 is 25177184271.

It is a happy number.

172481771520 is a `hidden beast` number, since 1 + 7 + 2 + 48 + 17 + 71 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×172481771520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4681812 + ... + 4718508.

Almost surely, 2^172481771520 is an apocalyptic number.

172481771520 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 172481771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324601149600).

172481771520 is an abundant number, since it is smaller than the sum of its proper divisors (476720527680).

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

172481771520 is a wasteful number, since it uses less digits than its factorization.

172481771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36750 (or 36724 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 172481771520 in words is "one hundred seventy-two billion, four hundred eighty-one million, seven hundred seventy-one thousand, five hundred twenty".