93961969920 has 1440 divisors, whose sum is σ = 432789299712. Its totient is φ = 18919194624.

The previous prime is 93961969867. The next prime is 93961969957. The reversal of 93961969920 is 2996916939.

93961969920 is a `hidden beast` number, since 9 + 3 + 9 + 619 + 6 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 159 ways as a sum of consecutive naturals, for example, 217002024 + ... + 217002456.

Almost surely, 2^93961969920 is an apocalyptic number.

93961969920 is a gapful number since it is divisible by the number (90) 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 93961969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216394649856).

93961969920 is an abundant number, since it is smaller than the sum of its proper divisors (338827329792).

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

93961969920 is a wasteful number, since it uses less digits than its factorization.

93961969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 12754584, while the sum is 63.

The spelling of 93961969920 in words is "ninety-three billion, nine hundred sixty-one million, nine hundred sixty-nine thousand, nine hundred twenty".