11552901360 has 640 divisors, whose sum is σ = 50636759040. Its totient is φ = 2098483200.

The previous prime is 11552901343. The next prime is 11552901407. The reversal of 11552901360 is 6310925511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4563295 + ... + 4565825.

It is an arithmetic number, because the mean of its divisors is an integer number (79119936).

Almost surely, 2^11552901360 is an apocalyptic number.

11552901360 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 11552901360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318379520).

11552901360 is an abundant number, since it is smaller than the sum of its proper divisors (39083857680).

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

11552901360 is a wasteful number, since it uses less digits than its factorization.

11552901360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 11552901360 in words is "eleven billion, five hundred fifty-two million, nine hundred one thousand, three hundred sixty".