1152401483520 has 864 divisors, whose sum is σ = 4839475455360. Its totient is φ = 247159848960.

The previous prime is 1152401483477. The next prime is 1152401483531. The reversal of 1152401483520 is 253841042511.

1152401483520 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 40 + 14 + 83 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 533271240 + ... + 533273400.

It is an arithmetic number, because the mean of its divisors is an integer number (5601244740).

Almost surely, 2^{1152401483520} is an apocalyptic number.

1152401483520 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 1152401483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419737727680).

1152401483520 is an abundant number, since it is smaller than the sum of its proper divisors (3687073971840).

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

1152401483520 is a wasteful number, since it uses less digits than its factorization.

1152401483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1152401483520 in words is "one trillion, one hundred fifty-two billion, four hundred one million, four hundred eighty-three thousand, five hundred twenty".