1153590036480 has 1152 divisors, whose sum is σ = 4868115033600. Its totient is φ = 246631366656.

The previous prime is 1153590036461. The next prime is 1153590036541. The reversal of 1153590036480 is 846300953511.

1153590036480 is a `hidden beast` number, since 1 + 1 + 53 + 5 + 90 + 0 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3213342541 + ... + 3213342899.

It is an arithmetic number, because the mean of its divisors is an integer number (4225794300).

Almost surely, 2^{1153590036480} is an apocalyptic number.

1153590036480 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 1153590036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434057516800).

1153590036480 is an abundant number, since it is smaller than the sum of its proper divisors (3714524997120).

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

1153590036480 is a wasteful number, since it uses less digits than its factorization.

1153590036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 1153590036480 its reverse (846300953511), we get a palindrome (1999890989991).

The spelling of 1153590036480 in words is "one trillion, one hundred fifty-three billion, five hundred ninety million, thirty-six thousand, four hundred eighty".