1102700058768 has 960 divisors, whose sum is σ = 4152305664000. Its totient is φ = 270252702720.

The previous prime is 1102700058709. The next prime is 1102700058769. The reversal of 1102700058768 is 8678500072011.

It is a happy number.

1102700058768 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 7 + 0 + 0 + 0 + 587 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1102700058769) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 987197346 + ... + 987198462.

It is an arithmetic number, because the mean of its divisors is an integer number (4325318400).

Almost surely, 2^{1102700058768} is an apocalyptic number.

1102700058768 is a gapful number since it is divisible by the number (18) 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 1102700058768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076152832000).

1102700058768 is an abundant number, since it is smaller than the sum of its proper divisors (3049605605232).

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

1102700058768 is a wasteful number, since it uses less digits than its factorization.

1102700058768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1102700058768 in words is "one trillion, one hundred two billion, seven hundred million, fifty-eight thousand, seven hundred sixty-eight".