58706398679040 has 2496 divisors, whose sum is σ = 253187610624000. Its totient is φ = 12547474587648.

The previous prime is 58706398678987. The next prime is 58706398679099. The reversal of 58706398679040 is 4097689360785.

58706398679040 is a `hidden beast` number, since 58 + 7 + 0 + 6 + 398 + 67 + 90 + 40 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58706398679040.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68342722131 + ... + 68342722989.

It is an arithmetic number, because the mean of its divisors is an integer number (101437344000).

Almost surely, 2^{58706398679040} 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 58706398679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126593805312000).

58706398679040 is an abundant number, since it is smaller than the sum of its proper divisors (194481211944960).

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

58706398679040 is a wasteful number, since it uses less digits than its factorization.

58706398679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 58706398679040 in words is "fifty-eight trillion, seven hundred six billion, three hundred ninety-eight million, six hundred seventy-nine thousand, forty".