93540531240 has 256 divisors, whose sum is σ = 347366880000. Its totient is φ = 22231286784.

The previous prime is 93540531233. The next prime is 93540531251. The reversal of 93540531240 is 4213504539.

93540531240 is a `hidden beast` number, since 9 + 3 + 5 + 405 + 3 + 1 + 240 = 666.

It is a super-2 number, since 2×93540531240² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 93540531195 and 93540531204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292291 + ... + 522029.

It is an arithmetic number, because the mean of its divisors is an integer number (1356901875).

Almost surely, 2^93540531240 is an apocalyptic number.

93540531240 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 93540531240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173683440000).

93540531240 is an abundant number, since it is smaller than the sum of its proper divisors (253826348760).

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

93540531240 is a wasteful number, since it uses less digits than its factorization.

93540531240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229801 (or 229791 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 93540531240 in words is "ninety-three billion, five hundred forty million, five hundred thirty-one thousand, two hundred forty".