60400186894080 has 1440 divisors, whose sum is σ = 249952381398720. Its totient is φ = 13763873341440.

The previous prime is 60400186894039. The next prime is 60400186894087. The reversal of 60400186894080 is 8049868100406.

60400186894080 is a `hidden beast` number, since 6 + 0 + 400 + 1 + 86 + 89 + 4 + 0 + 80 = 666.

60400186894080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60400186894087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21656573326 + ... + 21656576114.

It is an arithmetic number, because the mean of its divisors is an integer number (173578042638).

Almost surely, 2^{60400186894080} is an apocalyptic number.

60400186894080 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 60400186894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124976190699360).

60400186894080 is an abundant number, since it is smaller than the sum of its proper divisors (189552194504640).

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

60400186894080 is a wasteful number, since it uses less digits than its factorization.

60400186894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 60400186894080 in words is "sixty trillion, four hundred billion, one hundred eighty-six million, eight hundred ninety-four thousand, eighty".