275791633920 has 640 divisors, whose sum is σ = 1103260815360. Its totient is φ = 64696320000.

The previous prime is 275791633877. The next prime is 275791633967. The reversal of 275791633920 is 29336197572.

275791633920 is a `hidden beast` number, since 2 + 7 + 579 + 1 + 63 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×275791633920² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 23564070 + ... + 23575770.

It is an arithmetic number, because the mean of its divisors is an integer number (1723845024).

Almost surely, 2^275791633920 is an apocalyptic number.

275791633920 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 275791633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551630407680).

275791633920 is an abundant number, since it is smaller than the sum of its proper divisors (827469181440).

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

275791633920 is a wasteful number, since it uses less digits than its factorization.

275791633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11775 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 275791633920 in words is "two hundred seventy-five billion, seven hundred ninety-one million, six hundred thirty-three thousand, nine hundred twenty".