93986390400 has 1536 divisors, whose sum is σ = 404331264000. Its totient is φ = 19074908160.

The previous prime is 93986390321. The next prime is 93986390411. The reversal of 93986390400 is 409368939.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1287484764 + ... + 1287484836.

It is an arithmetic number, because the mean of its divisors is an integer number (263236500).

Almost surely, 2^93986390400 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 93986390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202165632000).

93986390400 is an abundant number, since it is smaller than the sum of its proper divisors (310344873600).

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

93986390400 is a wasteful number, since it uses less digits than its factorization.

93986390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 93986390400 in words is "ninety-three billion, nine hundred eighty-six million, three hundred ninety thousand, four hundred".