60195767878400 has 432 divisors, whose sum is σ = 185793244304640. Its totient is φ = 18758825164800.

The previous prime is 60195767878361. The next prime is 60195767878417. The reversal of 60195767878400 is 487876759106.

60195767878400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4290802586 + ... + 4290816614.

Almost surely, 2^{60195767878400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60195767878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92896622152320).

60195767878400 is an abundant number, since it is smaller than the sum of its proper divisors (125597476426240).

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

60195767878400 is a wasteful number, since it uses less digits than its factorization.

60195767878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22780 (or 22761 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 68.

The spelling of 60195767878400 in words is "sixty trillion, one hundred ninety-five billion, seven hundred sixty-seven million, eight hundred seventy-eight thousand, four hundred".