1088820820656 has 240 divisors, whose sum is σ = 3241010133504. Its totient is φ = 340051378176.

The previous prime is 1088820820613. The next prime is 1088820820721. The reversal of 1088820820656 is 6560280288801.

It is a happy number.

1088820820656 is a `hidden beast` number, since 108 + 88 + 208 + 206 + 56 = 666.

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, 992543500 + ... + 992544596.

Almost surely, 2^{1088820820656} is an apocalyptic number.

1088820820656 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 1088820820656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620505066752).

1088820820656 is an abundant number, since it is smaller than the sum of its proper divisors (2152189312848).

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

1088820820656 is a wasteful number, since it uses less digits than its factorization.

1088820820656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 1088820820656 in words is "one trillion, eighty-eight billion, eight hundred twenty million, eight hundred twenty thousand, six hundred fifty-six".