58268201472 has 800 divisors, whose sum is σ = 202299052032. Its totient is φ = 16554295296.

The previous prime is 58268201447. The next prime is 58268201473. The reversal of 58268201472 is 27410286285.

58268201472 is a `hidden beast` number, since 582 + 6 + 8 + 20 + 1 + 47 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (58268201473) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 458804673 + ... + 458804799.

Almost surely, 2^58268201472 is an apocalyptic number.

58268201472 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 58268201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101149526016).

58268201472 is an abundant number, since it is smaller than the sum of its proper divisors (144030850560).

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

58268201472 is a wasteful number, since it uses less digits than its factorization.

58268201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 58268201472 in words is "fifty-eight billion, two hundred sixty-eight million, two hundred one thousand, four hundred seventy-two".