11555276040 has 1152 divisors, whose sum is σ = 52549585920. Its totient is φ = 2167603200.

The previous prime is 11555276017. The next prime is 11555276053. The reversal of 11555276040 is 4067255511.

11555276040 is a `hidden beast` number, since 1 + 1 + 5 + 552 + 7 + 60 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11555275986 and 11555276004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102259024 + ... + 102259136.

It is an arithmetic number, because the mean of its divisors is an integer number (45615960).

Almost surely, 2^11555276040 is an apocalyptic number.

11555276040 is a gapful number since it is divisible by the number (10) 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 11555276040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274792960).

11555276040 is an abundant number, since it is smaller than the sum of its proper divisors (40994309880).

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

11555276040 is a wasteful number, since it uses less digits than its factorization.

11555276040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 11555276040 in words is "eleven billion, five hundred fifty-five million, two hundred seventy-six thousand, forty".