1086197756688 has 480 divisors, whose sum is σ = 3521006641152. Its totient is φ = 321365491200.

The previous prime is 1086197756627. The next prime is 1086197756731. The reversal of 1086197756688 is 8866577916801.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514540753 + ... + 514542863.

Almost surely, 2^{1086197756688} is an apocalyptic number.

1086197756688 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 1086197756688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760503320576).

1086197756688 is an abundant number, since it is smaller than the sum of its proper divisors (2434808884464).

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

1086197756688 is a wasteful number, since it uses less digits than its factorization.

1086197756688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 1086197756688 in words is "one trillion, eighty-six billion, one hundred ninety-seven million, seven hundred fifty-six thousand, six hundred eighty-eight".