95815454999040 has 2400 divisors, whose sum is σ = 423168524856000. Its totient is φ = 20602572963840.

The previous prime is 95815454998999. The next prime is 95815454999057. The reversal of 95815454999040 is 4099945451859.

95815454999040 is a `hidden beast` number, since 9 + 5 + 8 + 1 + 5 + 4 + 5 + 499 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 95815454999040.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28764770175 + ... + 28764773505.

It is an arithmetic number, because the mean of its divisors is an integer number (176320218690).

Almost surely, 2^{95815454999040} is an apocalyptic number.

95815454999040 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 95815454999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211584262428000).

95815454999040 is an abundant number, since it is smaller than the sum of its proper divisors (327353069856960).

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

95815454999040 is a wasteful number, since it uses less digits than its factorization.

95815454999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 95815454999040 in words is "ninety-five trillion, eight hundred fifteen billion, four hundred fifty-four million, nine hundred ninety-nine thousand, forty".