11532028297440 has 768 divisors, whose sum is σ = 44022772684800. Its totient is φ = 2478807318528.

The previous prime is 11532028297409. The next prime is 11532028297441. The reversal of 11532028297440 is 4479282023511.

It is a super-2 number, since 2×11532028297440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11532028297440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532028297441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5786265084 + ... + 5786267076.

It is an arithmetic number, because the mean of its divisors is an integer number (57321318600).

Almost surely, 2^{11532028297440} is an apocalyptic number.

11532028297440 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 11532028297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011386342400).

11532028297440 is an abundant number, since it is smaller than the sum of its proper divisors (32490744387360).

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

11532028297440 is a wasteful number, since it uses less digits than its factorization.

11532028297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 11532028297440 in words is "eleven trillion, five hundred thirty-two billion, twenty-eight million, two hundred ninety-seven thousand, four hundred forty".