275871680400 has 120 divisors (see below), whose sum is σ = 884244853120. Its totient is φ = 73521169920.

The previous prime is 275871680393. The next prime is 275871680407. The reversal of 275871680400 is 4086178572.

It is an interprime number because it is at equal distance from previous prime (275871680393) and next prime (275871680407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×275871680400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 275871680400.

It is not an unprimeable number, because it can be changed into a prime (275871680407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933929 + ... + 2071671.

Almost surely, 2^275871680400 is an apocalyptic number.

275871680400 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 275871680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442122426560).

275871680400 is an abundant number, since it is smaller than the sum of its proper divisors (608373172720).

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

275871680400 is a wasteful number, since it uses less digits than its factorization.

275871680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139433 (or 139422 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 275871680400 in words is "two hundred seventy-five billion, eight hundred seventy-one million, six hundred eighty thousand, four hundred".