60081608400 has 960 divisors, whose sum is σ = 230625239040. Its totient is φ = 13224960000.

The previous prime is 60081608387. The next prime is 60081608407. The reversal of 60081608400 is 480618006.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60081608407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 723874759 + ... + 723874841.

It is an arithmetic number, because the mean of its divisors is an integer number (240234624).

Almost surely, 2^60081608400 is an apocalyptic number.

60081608400 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 60081608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115312619520).

60081608400 is an abundant number, since it is smaller than the sum of its proper divisors (170543630640).

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

60081608400 is a wasteful number, since it uses less digits than its factorization.

60081608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 60081608400 in words is "sixty billion, eighty-one million, six hundred eight thousand, four hundred".