275150879640 has 320 divisors, whose sum is σ = 1138232208960. Its totient is φ = 58053749760.

The previous prime is 275150879639. The next prime is 275150879677. The reversal of 275150879640 is 46978051572.

275150879640 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 508 + 7 + 96 + 40 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171771 + ... + 761450.

It is an arithmetic number, because the mean of its divisors is an integer number (3556975653).

Almost surely, 2^275150879640 is an apocalyptic number.

275150879640 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 275150879640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569116104480).

275150879640 is an abundant number, since it is smaller than the sum of its proper divisors (863081329320).

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

275150879640 is a wasteful number, since it uses less digits than its factorization.

275150879640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933264 (or 933251 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 275150879640 in words is "two hundred seventy-five billion, one hundred fifty million, eight hundred seventy-nine thousand, six hundred forty".