11661215025040 has 40 divisors (see below), whose sum is σ = 30985514210880. Its totient is φ = 3998130865536.

The previous prime is 11661215025023. The next prime is 11661215025049. The reversal of 11661215025040 is 4052051216611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11661215024987 and 11661215025005.

It is not an unprimeable number, because it can be changed into a prime (11661215025049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10411798570 + ... + 10411799689.

It is an arithmetic number, because the mean of its divisors is an integer number (774637855272).

Almost surely, 2^{11661215025040} is an apocalyptic number.

11661215025040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11661215025040 is an abundant number, since it is smaller than the sum of its proper divisors (19324299185840).

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

11661215025040 is a wasteful number, since it uses less digits than its factorization.

11661215025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20823598279 (or 20823598273 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 11661215025040 in words is "eleven trillion, six hundred sixty-one billion, two hundred fifteen million, twenty-five thousand, forty".