20195013752640 has 672 divisors, whose sum is σ = 74374600495104. Its totient is φ = 5212512829440.

The previous prime is 20195013752561. The next prime is 20195013752663. The reversal of 20195013752640 is 4625731059102.

20195013752640 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 50 + 1 + 37 + 526 + 40 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404871382 + ... + 404921258.

It is an arithmetic number, because the mean of its divisors is an integer number (110676488832).

Almost surely, 2^{20195013752640} is an apocalyptic number.

20195013752640 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 20195013752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37187300247552).

20195013752640 is an abundant number, since it is smaller than the sum of its proper divisors (54179586742464).

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

20195013752640 is a wasteful number, since it uses less digits than its factorization.

20195013752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50077 (or 50055 counting only the distinct ones).

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

The spelling of 20195013752640 in words is "twenty trillion, one hundred ninety-five billion, thirteen million, seven hundred fifty-two thousand, six hundred forty".