10697145480 has 384 divisors, whose sum is σ = 41691386880. Its totient is φ = 2327408640.

The previous prime is 10697145461. The next prime is 10697145499. The reversal of 10697145480 is 8454179601.

10697145480 is a `hidden beast` number, since 1 + 0 + 6 + 97 + 14 + 548 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10697145461) and next prime (10697145499).

It is a super-2 number, since 2×10697145480² (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 95 ways as a sum of consecutive naturals, for example, 4381060 + ... + 4383500.

It is an arithmetic number, because the mean of its divisors is an integer number (108571320).

Almost surely, 2^10697145480 is an apocalyptic number.

10697145480 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 10697145480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845693440).

10697145480 is an abundant number, since it is smaller than the sum of its proper divisors (30994241400).

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

10697145480 is a wasteful number, since it uses less digits than its factorization.

10697145480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 10697145 and 480, that added together give a triangular number (10697625 = T₄₆₂₅).

The spelling of 10697145480 in words is "ten billion, six hundred ninety-seven million, one hundred forty-five thousand, four hundred eighty".