11506378590 has 128 divisors (see below), whose sum is σ = 36591851520. Its totient is φ = 2515670784.

The previous prime is 11506378579. The next prime is 11506378601. The reversal of 11506378590 is 9587360511.

It is a happy number.

11506378590 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 637 + 8 + 5 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11506378579) and next prime (11506378601).

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 63 ways as a sum of consecutive naturals, for example, 88879 + ... + 175818.

It is an arithmetic number, because the mean of its divisors is an integer number (285873840).

Almost surely, 2^11506378590 is an apocalyptic number.

11506378590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11506378590 is an abundant number, since it is smaller than the sum of its proper divisors (25085472930).

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

11506378590 is a wasteful number, since it uses less digits than its factorization.

11506378590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264743 (or 264737 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11506378590 in words is "eleven billion, five hundred six million, three hundred seventy-eight thousand, five hundred ninety".