11293652790 has 288 divisors, whose sum is σ = 34923578976. Its totient is φ = 2524354560.

The previous prime is 11293652767. The next prime is 11293652819. The reversal of 11293652790 is 9725639211.

It is a happy number.

11293652790 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 36 + 527 + 90 = 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 143 ways as a sum of consecutive naturals, for example, 65281144 + ... + 65281316.

It is an arithmetic number, because the mean of its divisors is an integer number (121262427).

Almost surely, 2^11293652790 is an apocalyptic number.

11293652790 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 11293652790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461789488).

11293652790 is an abundant number, since it is smaller than the sum of its proper divisors (23629926186).

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

11293652790 is a wasteful number, since it uses less digits than its factorization.

11293652790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11293652790 in words is "eleven billion, two hundred ninety-three million, six hundred fifty-two thousand, seven hundred ninety".