58042978655400 has 480 divisors, whose sum is σ = 208720128612600. Its totient is φ = 14931728179200.

The previous prime is 58042978655369. The next prime is 58042978655407. The reversal of 58042978655400 is 455687924085.

58042978655400 is a `hidden beast` number, since 5 + 8 + 0 + 4 + 2 + 9 + 7 + 86 + 5 + 540 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7744352004 + 58035234303396 = 88002^2 + 7618086^2 .

It is not an unprimeable number, because it can be changed into a prime (58042978655407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 560419620 + ... + 560523180.

Almost surely, 2^{58042978655400} is an apocalyptic number.

58042978655400 is a gapful number since it is divisible by the number (50) 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 58042978655400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104360064306300).

58042978655400 is an abundant number, since it is smaller than the sum of its proper divisors (150677149957200).

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

58042978655400 is a wasteful number, since it uses less digits than its factorization.

58042978655400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104811 (or 104793 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 58042978655400 in words is "fifty-eight trillion, forty-two billion, nine hundred seventy-eight million, six hundred fifty-five thousand, four hundred".