60801250406400 has 2496 divisors, whose sum is σ = 266463478579200. Its totient is φ = 13296945070080.

The previous prime is 60801250406341. The next prime is 60801250406419. The reversal of 60801250406400 is 460405210806.

60801250406400 is a `hidden beast` number, since 6 + 0 + 8 + 0 + 1 + 2 + 5 + 0 + 4 + 0 + 640 + 0 = 666.

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

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, 71279308374 + ... + 71279309226.

Almost surely, 2^{60801250406400} is an apocalyptic number.

60801250406400 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 60801250406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133231739289600).

60801250406400 is an abundant number, since it is smaller than the sum of its proper divisors (205662228172800).

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

60801250406400 is a wasteful number, since it uses less digits than its factorization.

60801250406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 60801250406400 in words is "sixty trillion, eight hundred one billion, two hundred fifty million, four hundred six thousand, four hundred".