58542267248640 has 832 divisors, whose sum is σ = 238612338155520. Its totient is φ = 13338598440960.

The previous prime is 58542267248629. The next prime is 58542267248653. The reversal of 58542267248640 is 4684276224585.

58542267248640 is a `hidden beast` number, since 5 + 8 + 5 + 42 + 2 + 6 + 72 + 486 + 40 = 666.

It is a super-2 number, since 2×58542267248640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1226994385 + ... + 1227042095.

Almost surely, 2^{58542267248640} 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 58542267248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119306169077760).

58542267248640 is an abundant number, since it is smaller than the sum of its proper divisors (180070070906880).

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

58542267248640 is a wasteful number, since it uses less digits than its factorization.

58542267248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48073 (or 48045 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 58542267248640 in words is "fifty-eight trillion, five hundred forty-two billion, two hundred sixty-seven million, two hundred forty-eight thousand, six hundred forty".