58034379312 has 480 divisors, whose sum is σ = 215446210560. Its totient is φ = 14809858560.

The previous prime is 58034379311. The next prime is 58034379313. The reversal of 58034379312 is 21397343085.

58034379312 is a `hidden beast` number, since 580 + 3 + 4 + 37 + 9 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (58034379311) and next prime (58034379313).

It is not an unprimeable number, because it can be changed into a prime (58034379311) 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, 8527303 + ... + 8534105.

It is an arithmetic number, because the mean of its divisors is an integer number (448846272).

Almost surely, 2^58034379312 is an apocalyptic number.

58034379312 is a gapful number since it is divisible by the number (52) 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 58034379312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107723105280).

58034379312 is an abundant number, since it is smaller than the sum of its proper divisors (157411831248).

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

58034379312 is a wasteful number, since it uses less digits than its factorization.

58034379312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 58034379312 in words is "fifty-eight billion, thirty-four million, three hundred seventy-nine thousand, three hundred twelve".