11245984292760 has 128 divisors (see below), whose sum is σ = 38560631109120. Its totient is φ = 2570312650752.

The previous prime is 11245984292749. The next prime is 11245984292779. The reversal of 11245984292760 is 6729248954211.

11245984292760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 11245984292694 and 11245984292703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10534312 + ... + 11552648.

It is an arithmetic number, because the mean of its divisors is an integer number (301254930540).

Almost surely, 2^{11245984292760} is an apocalyptic number.

11245984292760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11245984292760 is an abundant number, since it is smaller than the sum of its proper divisors (27314646816360).

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

11245984292760 is a wasteful number, since it uses less digits than its factorization.

11245984292760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031505 (or 1031501 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 11245984292760 in words is "eleven trillion, two hundred forty-five billion, nine hundred eighty-four million, two hundred ninety-two thousand, seven hundred sixty".