95005794240 has 1680 divisors, whose sum is σ = 430531706880. Its totient is φ = 19752284160.

The previous prime is 95005794239. The next prime is 95005794263. The reversal of 95005794240 is 4249750059.

95005794240 is a `hidden beast` number, since 9 + 50 + 0 + 579 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×95005794240² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 748077057 + ... + 748077183.

Almost surely, 2^95005794240 is an apocalyptic number.

95005794240 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 95005794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215265853440).

95005794240 is an abundant number, since it is smaller than the sum of its proper divisors (335525912640).

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

95005794240 is a wasteful number, since it uses less digits than its factorization.

95005794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 95005794240 in words is "ninety-five billion, five million, seven hundred ninety-four thousand, two hundred forty".