10976788900000 has 1152 divisors, whose sum is σ = 35151750144000. Its totient is φ = 3343132800000.

The previous prime is 10976788899997. The next prime is 10976788900013. The reversal of 10976788900000 is 988767901.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17733099691 + ... + 17733100309.

It is an arithmetic number, because the mean of its divisors is an integer number (30513672000).

Almost surely, 2^{10976788900000} is an apocalyptic number.

10976788900000 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 10976788900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575875072000).

10976788900000 is an abundant number, since it is smaller than the sum of its proper divisors (24174961244000).

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

10976788900000 is an frugal number, since it uses more digits than its factorization.

10976788900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 10976788900000 in words is "ten trillion, nine hundred seventy-six billion, seven hundred eighty-eight million, nine hundred thousand".