11332984257000 has 1152 divisors, whose sum is σ = 45303274598400. Its totient is φ = 2547457920000.

The previous prime is 11332984256983. The next prime is 11332984257031. The reversal of 11332984257000 is 75248923311.

It is a happy number.

11332984257000 is a `hidden beast` number, since 1 + 1 + 3 + 32 + 9 + 8 + 42 + 570 + 0 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 9846206425 + ... + 9846207575.

It is an arithmetic number, because the mean of its divisors is an integer number (39325759200).

Almost surely, 2^{11332984257000} is an apocalyptic number.

11332984257000 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 11332984257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651637299200).

11332984257000 is an abundant number, since it is smaller than the sum of its proper divisors (33970290341400).

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

11332984257000 is a wasteful number, since it uses less digits than its factorization.

11332984257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11332984257000 in words is "eleven trillion, three hundred thirty-two billion, nine hundred eighty-four million, two hundred fifty-seven thousand".