1086492126720 has 2560 divisors, whose sum is σ = 4967106084864. Its totient is φ = 195349708800.

The previous prime is 1086492126719. The next prime is 1086492126761. The reversal of 1086492126720 is 276212946801.

It is a tau number, because it is divible by the number of its divisors (2560).

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 1086492126720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11200949712 + ... + 11200949808.

Almost surely, 2^{1086492126720} is an apocalyptic number.

1086492126720 is a gapful number since it is divisible by the number (10) 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 1086492126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483553042432).

1086492126720 is an abundant number, since it is smaller than the sum of its proper divisors (3880613958144).

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

1086492126720 is a wasteful number, since it uses less digits than its factorization.

1086492126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1086492126720 in words is "one trillion, eighty-six billion, four hundred ninety-two million, one hundred twenty-six thousand, seven hundred twenty".