11008357290 has 192 divisors, whose sum is σ = 35056958976. Its totient is φ = 2341633536.

The previous prime is 11008357219. The next prime is 11008357307. The reversal of 11008357290 is 9275380011.

11008357290 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 83 + 572 + 9 + 0 = 666.

It is a super-2 number, since 2×11008357290² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525864 + ... + 546396.

It is an arithmetic number, because the mean of its divisors is an integer number (182588328).

Almost surely, 2^11008357290 is an apocalyptic number.

11008357290 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 11008357290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528479488).

11008357290 is an abundant number, since it is smaller than the sum of its proper divisors (24048601686).

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

11008357290 is a wasteful number, since it uses less digits than its factorization.

11008357290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20613 (or 20610 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11008357290 in words is "eleven billion, eight million, three hundred fifty-seven thousand, two hundred ninety".