1147702828800 has 432 divisors, whose sum is σ = 4137648923520. Its totient is φ = 277850112000.

The previous prime is 1147702828771. The next prime is 1147702828841. The reversal of 1147702828800 is 88282077411.

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 1147702828800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173391891 + ... + 173398509.

Almost surely, 2^{1147702828800} is an apocalyptic number.

1147702828800 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 1147702828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068824461760).

1147702828800 is an abundant number, since it is smaller than the sum of its proper divisors (2989946094720).

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

1147702828800 is a wasteful number, since it uses less digits than its factorization.

1147702828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 1147702828800 in words is "one trillion, one hundred forty-seven billion, seven hundred two million, eight hundred twenty-eight thousand, eight hundred".