10497687552 has 216 divisors, whose sum is σ = 33124389480. Its totient is φ = 3177185280.

The previous prime is 10497687479. The next prime is 10497687569. The reversal of 10497687552 is 25578679401.

10497687552 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 7 + 6 + 87 + 552 = 666.

It is a super-2 number, since 2×10497687552² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12975724 + ... + 12976532.

It is an arithmetic number, because the mean of its divisors is an integer number (153353655).

Almost surely, 2^10497687552 is an apocalyptic number.

10497687552 is a gapful number since it is divisible by the number (12) 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 10497687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562194740).

10497687552 is an abundant number, since it is smaller than the sum of its proper divisors (22626701928).

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

10497687552 is an frugal number, since it uses more digits than its factorization.

10497687552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 10497687552 in words is "ten billion, four hundred ninety-seven million, six hundred eighty-seven thousand, five hundred fifty-two".