11662691040 has 1920 divisors, whose sum is σ = 59012997120. Its totient is φ = 2090188800.

The previous prime is 11662691021. The next prime is 11662691087. The reversal of 11662691040 is 4019626611.

11662691040 is a `hidden beast` number, since 1 + 16 + 626 + 9 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11662690986 and 11662691004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 376215825 + ... + 376215855.

It is an arithmetic number, because the mean of its divisors is an integer number (30735936).

Almost surely, 2^11662691040 is an apocalyptic number.

11662691040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11662691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29506498560).

11662691040 is an abundant number, since it is smaller than the sum of its proper divisors (47350306080).

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

11662691040 is a wasteful number, since it uses less digits than its factorization.

11662691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11662691040 in words is "eleven billion, six hundred sixty-two million, six hundred ninety-one thousand, forty".