11859640510401 has 6 divisors (see below), whose sum is σ = 17130591848370. Its totient is φ = 7906427006928.

The previous prime is 11859640510387. The next prime is 11859640510429. The reversal of 11859640510401 is 10401504695811.

11859640510401 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 96 + 4 + 0 + 510 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11854255886001 + 5384624400 = 3443001^2 + 73380^2 .

It is not a de Polignac number, because 11859640510401 - 2⁵ = 11859640510369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11859640580401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 658868917236 + ... + 658868917253.

It is an arithmetic number, because the mean of its divisors is an integer number (2855098641395).

Almost surely, 2^{11859640510401} is an apocalyptic number.

It is an amenable number.

11859640510401 is a deficient number, since it is larger than the sum of its proper divisors (5270951337969).

11859640510401 is a wasteful number, since it uses less digits than its factorization.

11859640510401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317737834495 (or 1317737834492 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11859640510401 in words is "eleven trillion, eight hundred fifty-nine billion, six hundred forty million, five hundred ten thousand, four hundred one".