93461225760 has 384 divisors, whose sum is σ = 374496514560. Its totient is φ = 21325344768.

The previous prime is 93461225623. The next prime is 93461225773. The reversal of 93461225760 is 6752216439.

93461225760 is a `hidden beast` number, since 9 + 3 + 4 + 612 + 25 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19744354 + ... + 19749086.

It is an arithmetic number, because the mean of its divisors is an integer number (975251340).

Almost surely, 2^93461225760 is an apocalyptic number.

93461225760 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 93461225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187248257280).

93461225760 is an abundant number, since it is smaller than the sum of its proper divisors (281035288800).

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

93461225760 is a wasteful number, since it uses less digits than its factorization.

93461225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 93461225760 in words is "ninety-three billion, four hundred sixty-one million, two hundred twenty-five thousand, seven hundred sixty".