93952535040 has 1200 divisors, whose sum is σ = 417526990848. Its totient is φ = 19771195392.

The previous prime is 93952535009. The next prime is 93952535041. The reversal of 93952535040 is 4053525939.

93952535040 is a `hidden beast` number, since 9 + 3 + 95 + 2 + 53 + 504 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (93952535041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245306689 + ... + 245307071.

Almost surely, 2^93952535040 is an apocalyptic number.

93952535040 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 93952535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208763495424).

93952535040 is an abundant number, since it is smaller than the sum of its proper divisors (323574455808).

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

93952535040 is a wasteful number, since it uses less digits than its factorization.

93952535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 93952535040 in words is "ninety-three billion, nine hundred fifty-two million, five hundred thirty-five thousand, forty".