10697284416 has 448 divisors, whose sum is σ = 36274613760. Its totient is φ = 2707292160.

The previous prime is 10697284369. The next prime is 10697284441. The reversal of 10697284416 is 61448279601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10697284416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78082300 + ... + 78082436.

It is an arithmetic number, because the mean of its divisors is an integer number (80970120).

Almost surely, 2^10697284416 is an apocalyptic number.

10697284416 is a gapful number since it is divisible by the number (16) 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 10697284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137306880).

10697284416 is an abundant number, since it is smaller than the sum of its proper divisors (25577329344).

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

10697284416 is a wasteful number, since it uses less digits than its factorization.

10697284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10697284416 in words is "ten billion, six hundred ninety-seven million, two hundred eighty-four thousand, four hundred sixteen".