10761089760000 has 1980 divisors, whose sum is σ = 43266793063032. Its totient is φ = 2660511744000.

The previous prime is 10761089759951. The next prime is 10761089760013. The reversal of 10761089760000 is 6798016701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 219 ways as a sum of consecutive naturals, for example, 160613279967 + ... + 160613280033.

Almost surely, 2^{10761089760000} is an apocalyptic number.

10761089760000 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 10761089760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633396531516).

10761089760000 is an abundant number, since it is smaller than the sum of its proper divisors (32505703303032).

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

10761089760000 is an frugal number, since it uses more digits than its factorization.

10761089760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10761089760000 in words is "ten trillion, seven hundred sixty-one billion, eighty-nine million, seven hundred sixty thousand".