11435961672 has 80 divisors (see below), whose sum is σ = 32153552640. Its totient is φ = 3797436384.

The previous prime is 11435961637. The next prime is 11435961673. The reversal of 11435961672 is 27616953411.

11435961672 is a `hidden beast` number, since 1 + 1 + 43 + 596 + 16 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11435961673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136873 + ... + 203975.

It is an arithmetic number, because the mean of its divisors is an integer number (401919408).

Almost surely, 2^11435961672 is an apocalyptic number.

11435961672 is a gapful number since it is divisible by the number (12) 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 11435961672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076776320).

11435961672 is an abundant number, since it is smaller than the sum of its proper divisors (20717590968).

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

11435961672 is a wasteful number, since it uses less digits than its factorization.

11435961672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67384 (or 67371 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11435961672 in words is "eleven billion, four hundred thirty-five million, nine hundred sixty-one thousand, six hundred seventy-two".