10996611840000 has 1800 divisors, whose sum is σ = 43719632676720. Its totient is φ = 2752413696000.

The previous prime is 10996611839951. The next prime is 10996611840029. The reversal of 10996611840000 is 4811669901.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 29963519817 + ... + 29963520183.

Almost surely, 2^{10996611840000} is an apocalyptic number.

10996611840000 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 10996611840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21859816338360).

10996611840000 is an abundant number, since it is smaller than the sum of its proper divisors (32723020836720).

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

10996611840000 is an frugal number, since it uses more digits than its factorization.

10996611840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10996611840000 in words is "ten trillion, nine hundred ninety-six billion, six hundred eleven million, eight hundred forty thousand".