10535546880 has 624 divisors, whose sum is σ = 39713899680. Its totient is φ = 2675441664.

The previous prime is 10535546843. The next prime is 10535546897. The reversal of 10535546880 is 8864553501.

10535546880 is a `hidden beast` number, since 1 + 0 + 535 + 54 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×10535546880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 144322524 + ... + 144322596.

It is an arithmetic number, because the mean of its divisors is an integer number (63644070).

Almost surely, 2^10535546880 is an apocalyptic number.

10535546880 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 10535546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856949840).

10535546880 is an abundant number, since it is smaller than the sum of its proper divisors (29178352800).

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

10535546880 is an frugal number, since it uses more digits than its factorization.

10535546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 10535546880 in words is "ten billion, five hundred thirty-five million, five hundred forty-six thousand, eight hundred eighty".