60598125957600 has 3456 divisors, whose sum is σ = 288526933094400. Its totient is φ = 11588006707200.

The previous prime is 60598125957541. The next prime is 60598125957601. The reversal of 60598125957600 is 675952189506.

60598125957600 is a `hidden beast` number, since 6 + 0 + 5 + 9 + 8 + 1 + 2 + 59 + 576 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60598125957601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 159889514211 + ... + 159889514589.

It is an arithmetic number, because the mean of its divisors is an integer number (83485802400).

Almost surely, 2^{60598125957600} is an apocalyptic number.

60598125957600 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 60598125957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144263466547200).

60598125957600 is an abundant number, since it is smaller than the sum of its proper divisors (227928807136800).

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

60598125957600 is a wasteful number, since it uses less digits than its factorization.

60598125957600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 60598125957600 in words is "sixty trillion, five hundred ninety-eight billion, one hundred twenty-five million, nine hundred fifty-seven thousand, six hundred".