11652608471040 has 1456 divisors, whose sum is σ = 45854189911296. Its totient is φ = 2828324044800.

The previous prime is 11652608471039. The next prime is 11652608471047. The reversal of 11652608471040 is 4017480625611.

11652608471040 is a `hidden beast` number, since 1 + 1 + 6 + 526 + 0 + 84 + 7 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11652608471047) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7868067100 + ... + 7868068580.

Almost surely, 2^{11652608471040} is an apocalyptic number.

11652608471040 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 11652608471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927094955648).

11652608471040 is an abundant number, since it is smaller than the sum of its proper divisors (34201581440256).

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

11652608471040 is an equidigital number, since it uses as much as digits as its factorization.

11652608471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11652608471040 in words is "eleven trillion, six hundred fifty-two billion, six hundred eight million, four hundred seventy-one thousand, forty".