58800142080 has 540 divisors, whose sum is σ = 222195386952. Its totient is φ = 14845317120.

The previous prime is 58800142031. The next prime is 58800142117. The reversal of 58800142080 is 8024100885.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37427695 + ... + 37429265.

Almost surely, 2^58800142080 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 58800142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111097693476).

58800142080 is an abundant number, since it is smaller than the sum of its proper divisors (163395244872).

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

58800142080 is a wasteful number, since it uses less digits than its factorization.

58800142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 58800142080 in words is "fifty-eight billion, eight hundred million, one hundred forty-two thousand, eighty".