60259161600 has 960 divisors, whose sum is σ = 245138952960. Its totient is φ = 14496768000.

The previous prime is 60259161583. The next prime is 60259161607. The reversal of 60259161600 is 616195206.

60259161600 is a `hidden beast` number, since 6 + 0 + 2 + 591 + 6 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (60259161607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 459993535 + ... + 459993665.

It is an arithmetic number, because the mean of its divisors is an integer number (255353076).

Almost surely, 2^60259161600 is an apocalyptic number.

60259161600 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 60259161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122569476480).

60259161600 is an abundant number, since it is smaller than the sum of its proper divisors (184879791360).

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

60259161600 is a wasteful number, since it uses less digits than its factorization.

60259161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 60259161600 in words is "sixty billion, two hundred fifty-nine million, one hundred sixty-one thousand, six hundred".