10675514880 has 360 divisors, whose sum is σ = 38636573976. Its totient is φ = 2825072640.

The previous prime is 10675514849. The next prime is 10675514891. The reversal of 10675514880 is 8841557601.

10675514880 is a `hidden beast` number, since 10 + 6 + 7 + 551 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10675514880² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81492415 + ... + 81492545.

Almost surely, 2^10675514880 is an apocalyptic number.

10675514880 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 10675514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19318286988).

10675514880 is an abundant number, since it is smaller than the sum of its proper divisors (27961059096).

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

10675514880 is an frugal number, since it uses more digits than its factorization.

10675514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10675514880 in words is "ten billion, six hundred seventy-five million, five hundred fourteen thousand, eight hundred eighty".