598179778560 has 1248 divisors, whose sum is σ = 2687664994560. Its totient is φ = 119503060992.

The previous prime is 598179778543. The next prime is 598179778589. The reversal of 598179778560 is 65877971895.

598179778560 is a `hidden beast` number, since 59 + 8 + 1 + 7 + 9 + 7 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318688342 + ... + 318690218.

It is an arithmetic number, because the mean of its divisors is an integer number (2153577720).

Almost surely, 2^598179778560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 598179778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343832497280).

598179778560 is an abundant number, since it is smaller than the sum of its proper divisors (2089485216000).

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

598179778560 is a wasteful number, since it uses less digits than its factorization.

598179778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 598179778560 in words is "five hundred ninety-eight billion, one hundred seventy-nine million, seven hundred seventy-eight thousand, five hundred sixty".