11633667707040 has 48 divisors (see below), whose sum is σ = 36646053278688. Its totient is φ = 3102311388416.

The previous prime is 11633667707033. The next prime is 11633667707069. The reversal of 11633667707040 is 4070776633611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×11633667707040³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12118403382 + ... + 12118404341.

It is an arithmetic number, because the mean of its divisors is an integer number (763459443306).

Almost surely, 2^{11633667707040} is an apocalyptic number.

11633667707040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11633667707040 is an abundant number, since it is smaller than the sum of its proper divisors (25012385571648).

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

11633667707040 is a wasteful number, since it uses less digits than its factorization.

11633667707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24236807741 (or 24236807733 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The spelling of 11633667707040 in words is "eleven trillion, six hundred thirty-three billion, six hundred sixty-seven million, seven hundred seven thousand, forty".