60181272758880 has 1152 divisors, whose sum is σ = 255048386052096. Its totient is φ = 12582936576000.

The previous prime is 60181272758857. The next prime is 60181272758891. The reversal of 60181272758880 is 8885727218106.

60181272758880 is a `hidden beast` number, since 6 + 0 + 1 + 8 + 1 + 27 + 27 + 588 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19987136575 + ... + 19987139585.

It is an arithmetic number, because the mean of its divisors is an integer number (221396168448).

Almost surely, 2^{60181272758880} is an apocalyptic number.

60181272758880 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 60181272758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127524193026048).

60181272758880 is an abundant number, since it is smaller than the sum of its proper divisors (194867113293216).

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

60181272758880 is a wasteful number, since it uses less digits than its factorization.

60181272758880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 60181272758880 in words is "sixty trillion, one hundred eighty-one billion, two hundred seventy-two million, seven hundred fifty-eight thousand, eight hundred eighty".