93721085952 has 384 divisors, whose sum is σ = 297396852480. Its totient is φ = 25952256000.

The previous prime is 93721085923. The next prime is 93721086001. The reversal of 93721085952 is 25958012739.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 93721085895 and 93721085904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31228452 + ... + 31231452.

It is an arithmetic number, because the mean of its divisors is an integer number (774470970).

Almost surely, 2^93721085952 is an apocalyptic number.

93721085952 is a gapful number since it is divisible by the number (92) 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 93721085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148698426240).

93721085952 is an abundant number, since it is smaller than the sum of its proper divisors (203675766528).

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

93721085952 is a wasteful number, since it uses less digits than its factorization.

93721085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 93721085952 in words is "ninety-three billion, seven hundred twenty-one million, eighty-five thousand, nine hundred fifty-two".