60210878400 has 756 divisors, whose sum is σ = 233784571800. Its totient is φ = 14656204800.

The previous prime is 60210878383. The next prime is 60210878401. The reversal of 60210878400 is 487801206.

60210878400 is a `hidden beast` number, since 602 + 1 + 0 + 8 + 7 + 8 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60210878401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 262929486 + ... + 262929714.

Almost surely, 2^60210878400 is an apocalyptic number.

60210878400 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 60210878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116892285900).

60210878400 is an abundant number, since it is smaller than the sum of its proper divisors (173573693400).

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

60210878400 is a wasteful number, since it uses less digits than its factorization.

60210878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 60210878400 in words is "sixty billion, two hundred ten million, eight hundred seventy-eight thousand, four hundred".