11455742790 has 256 divisors, whose sum is σ = 32905543680. Its totient is φ = 2830464000.

The previous prime is 11455742783. The next prime is 11455742803. The reversal of 11455742790 is 9724755411.

11455742790 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 574 + 2 + 79 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 21987730 + ... + 21988250.

It is an arithmetic number, because the mean of its divisors is an integer number (128537280).

Almost surely, 2^11455742790 is an apocalyptic number.

11455742790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11455742790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452771840).

11455742790 is an abundant number, since it is smaller than the sum of its proper divisors (21449800890).

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

11455742790 is a wasteful number, since it uses less digits than its factorization.

11455742790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 11455742790 in words is "eleven billion, four hundred fifty-five million, seven hundred forty-two thousand, seven hundred ninety".