58949404800 has 768 divisors, whose sum is σ = 238154757120. Its totient is φ = 12611174400.

The previous prime is 58949404783. The next prime is 58949404841. The reversal of 58949404800 is 840494985.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31573467 + ... + 31575333.

It is an arithmetic number, because the mean of its divisors is an integer number (310097340).

Almost surely, 2^58949404800 is an apocalyptic number.

58949404800 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 58949404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119077378560).

58949404800 is an abundant number, since it is smaller than the sum of its proper divisors (179205352320).

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

58949404800 is a wasteful number, since it uses less digits than its factorization.

58949404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 58949404800 in words is "fifty-eight billion, nine hundred forty-nine million, four hundred four thousand, eight hundred".