10697876280 has 1024 divisors, whose sum is σ = 49061376000. Its totient is φ = 2006581248.

The previous prime is 10697876249. The next prime is 10697876291. The reversal of 10697876280 is 8267879601.

10697876280 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 7 + 8 + 7 + 628 + 0 = 666.

10697876280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10697876280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31744272 + ... + 31744608.

It is an arithmetic number, because the mean of its divisors is an integer number (47911500).

Almost surely, 2^10697876280 is an apocalyptic number.

10697876280 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 10697876280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530688000).

10697876280 is an abundant number, since it is smaller than the sum of its proper divisors (38363499720).

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

10697876280 is a wasteful number, since it uses less digits than its factorization.

10697876280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10697876280 in words is "ten billion, six hundred ninety-seven million, eight hundred seventy-six thousand, two hundred eighty".