93521660400 has 420 divisors, whose sum is σ = 385007920912. Its totient is φ = 21375912960.

The previous prime is 93521660347. The next prime is 93521660411. The reversal of 93521660400 is 406612539.

It is a happy number.

93521660400 is a `hidden beast` number, since 9 + 35 + 2 + 16 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2018292 + ... + 2064108.

Almost surely, 2^93521660400 is an apocalyptic number.

93521660400 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 93521660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192503960456).

93521660400 is an abundant number, since it is smaller than the sum of its proper divisors (291486260512).

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

93521660400 is a wasteful number, since it uses less digits than its factorization.

93521660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45860 (or 45834 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 93521660400 in words is "ninety-three billion, five hundred twenty-one million, six hundred sixty thousand, four hundred".