11552023625040 has 60 divisors (see below), whose sum is σ = 38795546009844. Its totient is φ = 3080539633152.

The previous prime is 11552023625017. The next prime is 11552023625119. The reversal of 11552023625040 is 4052632025511.

11552023625040 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 2 + 0 + 23 + 625 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3003136497936 + 8548887127104 = 1732956^2 + 2923848^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 11552023624986 and 11552023625004.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8022237909 + ... + 8022239348.

Almost surely, 2^{11552023625040} is an apocalyptic number.

11552023625040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11552023625040 is an abundant number, since it is smaller than the sum of its proper divisors (27243522384804).

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

11552023625040 is a wasteful number, since it uses less digits than its factorization.

11552023625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16044477276 (or 16044477267 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11552023625040 in words is "eleven trillion, five hundred fifty-two billion, twenty-three million, six hundred twenty-five thousand, forty".