1086929268480 has 432 divisors, whose sum is σ = 4125293434080. Its totient is φ = 262036684800.

The previous prime is 1086929268461. The next prime is 1086929268493. The reversal of 1086929268480 is 848629296801.

1086929268480 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 9 + 2 + 92 + 68 + 480 = 666.

It is a Cunningham number, because it is equal to 1042559²-1.

It is a super-3 number, since 3×1086929268480³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22912626 + ... + 22960014.

Almost surely, 2^{1086929268480} is an apocalyptic number.

1086929268480 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 1086929268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062646717040).

1086929268480 is an abundant number, since it is smaller than the sum of its proper divisors (3038364165600).

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

1086929268480 is a wasteful number, since it uses less digits than its factorization.

1086929268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47608 (or 47591 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1086929268480 in words is "one trillion, eighty-six billion, nine hundred twenty-nine million, two hundred sixty-eight thousand, four hundred eighty".