93387271680 has 960 divisors, whose sum is σ = 359050019328. Its totient is φ = 23211048960.

The previous prime is 93387271673. The next prime is 93387271693. The reversal of 93387271680 is 8617278339.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872778187 + ... + 872778293.

Almost surely, 2^93387271680 is an apocalyptic number.

93387271680 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 93387271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179525009664).

93387271680 is an abundant number, since it is smaller than the sum of its proper divisors (265662747648).

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

93387271680 is a wasteful number, since it uses less digits than its factorization.

93387271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 93387271680 in words is "ninety-three billion, three hundred eighty-seven million, two hundred seventy-one thousand, six hundred eighty".