60381266400 has 1728 divisors, whose sum is σ = 288206553600. Its totient is φ = 11904122880.

The previous prime is 60381266389. The next prime is 60381266401. The reversal of 60381266400 is 466218306.

60381266400 is a `hidden beast` number, since 6 + 0 + 3 + 8 + 1 + 2 + 6 + 640 + 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 (60381266401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 434397531 + ... + 434397669.

It is an arithmetic number, because the mean of its divisors is an integer number (166786200).

Almost surely, 2^60381266400 is an apocalyptic number.

60381266400 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 60381266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144103276800).

60381266400 is an abundant number, since it is smaller than the sum of its proper divisors (227825287200).

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

60381266400 is a wasteful number, since it uses less digits than its factorization.

60381266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 60381266400 in words is "sixty billion, three hundred eighty-one million, two hundred sixty-six thousand, four hundred".