20095874623440 has 2560 divisors, whose sum is σ = 95223162470400. Its totient is φ = 3766759096320.

The previous prime is 20095874623427. The next prime is 20095874623471. The reversal of 20095874623440 is 4432647859002.

It is a happy number.

20095874623440 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 5 + 8 + 7 + 4 + 623 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 20568960232 + ... + 20568961208.

It is an arithmetic number, because the mean of its divisors is an integer number (37196547840).

Almost surely, 2^{20095874623440} is an apocalyptic number.

20095874623440 is a gapful number since it is divisible by the number (20) 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 20095874623440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47611581235200).

20095874623440 is an abundant number, since it is smaller than the sum of its proper divisors (75127287846960).

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

20095874623440 is a wasteful number, since it uses less digits than its factorization.

20095874623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 20095874623440 in words is "twenty trillion, ninety-five billion, eight hundred seventy-four million, six hundred twenty-three thousand, four hundred forty".