10812361560 has 768 divisors, whose sum is σ = 45045504000. Its totient is φ = 2061480960.

The previous prime is 10812361531. The next prime is 10812361561. The reversal of 10812361560 is 6516321801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10812361561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64744597 + ... + 64744763.

It is an arithmetic number, because the mean of its divisors is an integer number (58653000).

Almost surely, 2^10812361560 is an apocalyptic number.

10812361560 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 10812361560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522752000).

10812361560 is an abundant number, since it is smaller than the sum of its proper divisors (34233142440).

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

10812361560 is a wasteful number, since it uses less digits than its factorization.

10812361560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10812361560 in words is "ten billion, eight hundred twelve million, three hundred sixty-one thousand, five hundred sixty".