1275815409664 has 192 divisors, whose sum is σ = 2783142180000. Its totient is φ = 582387499008.

The previous prime is 1275815409637. The next prime is 1275815409677. The reversal of 1275815409664 is 4669045185721.

It is a super-2 number, since 2×1275815409664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 1275815409599 and 1275815409608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048327584 + ... + 1048328800.

Almost surely, 2^{1275815409664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1275815409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391571090000).

1275815409664 is an abundant number, since it is smaller than the sum of its proper divisors (1507326770336).

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

1275815409664 is a wasteful number, since it uses less digits than its factorization.

1275815409664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 1275815409664 in words is "one trillion, two hundred seventy-five billion, eight hundred fifteen million, four hundred nine thousand, six hundred sixty-four".