58681234950 has 384 divisors, whose sum is σ = 176118727680. Its totient is φ = 12773376000.

The previous prime is 58681234919. The next prime is 58681235003. The reversal of 58681234950 is 5943218685.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 58681234893 and 58681234902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95107042 + ... + 95107658.

It is an arithmetic number, because the mean of its divisors is an integer number (458642520).

Almost surely, 2^58681234950 is an apocalyptic number.

58681234950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58681234950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88059363840).

58681234950 is an abundant number, since it is smaller than the sum of its proper divisors (117437492730).

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

58681234950 is a wasteful number, since it uses less digits than its factorization.

58681234950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 58681234950 in words is "fifty-eight billion, six hundred eighty-one million, two hundred thirty-four thousand, nine hundred fifty".