1095640874496 has 1280 divisors, whose sum is σ = 4123164672000. Its totient is φ = 280204738560.

The previous prime is 1095640874473. The next prime is 1095640874557. The reversal of 1095640874496 is 6944780465901.

1095640874496 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 64 + 0 + 87 + 4 + 496 = 666.

1095640874496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2678828340 + ... + 2678828748.

It is an arithmetic number, because the mean of its divisors is an integer number (3221222400).

Almost surely, 2^{1095640874496} is an apocalyptic number.

1095640874496 is a gapful number since it is divisible by the number (16) 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 1095640874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061582336000).

1095640874496 is an abundant number, since it is smaller than the sum of its proper divisors (3027523797504).

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

1095640874496 is a wasteful number, since it uses less digits than its factorization.

1095640874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1095640874496 in words is "one trillion, ninety-five billion, six hundred forty million, eight hundred seventy-four thousand, four hundred ninety-six".