11961440253 has 192 divisors, whose sum is σ = 22573824000. Its totient is φ = 5949199872.

The previous prime is 11961440251. The next prime is 11961440279. The reversal of 11961440253 is 35204416911.

It is a happy number.

11961440253 is a `hidden beast` number, since 1 + 19 + 614 + 4 + 0 + 25 + 3 = 666.

It is not a de Polignac number, because 11961440253 - 2¹ = 11961440251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11961440251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86053458 + ... + 86053596.

It is an arithmetic number, because the mean of its divisors is an integer number (117572000).

Almost surely, 2^11961440253 is an apocalyptic number.

It is an amenable number.

11961440253 is a deficient number, since it is larger than the sum of its proper divisors (10612383747).

11961440253 is a wasteful number, since it uses less digits than its factorization.

11961440253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11961440253 in words is "eleven billion, nine hundred sixty-one million, four hundred forty thousand, two hundred fifty-three".