1126765080000 has 700 divisors, whose sum is σ = 4770118660912. Its totient is φ = 257541120000.

The previous prime is 1126765079989. The next prime is 1126765080011. The reversal of 1126765080000 is 805676211.

It is an interprime number because it is at equal distance from previous prime (1126765079989) and next prime (1126765080011).

It is a tau number, because it is divible by the number of its divisors (700).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 22655160 + ... + 22704840.

Almost surely, 2^{1126765080000} is an apocalyptic number.

1126765080000 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 1126765080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385059330456).

1126765080000 is an abundant number, since it is smaller than the sum of its proper divisors (3643353580912).

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

1126765080000 is an frugal number, since it uses more digits than its factorization.

1126765080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49732 (or 49698 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1126765080000 in words is "one trillion, one hundred twenty-six billion, seven hundred sixty-five million, eighty thousand".