10695552048 has 180 divisors, whose sum is σ = 32614989888. Its totient is φ = 3268097280.

The previous prime is 10695552013. The next prime is 10695552053. The reversal of 10695552048 is 84025559601.

10695552048 is a `hidden beast` number, since 1 + 0 + 6 + 95 + 552 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×10695552048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10695551994 and 10695552012.

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, 1608186 + ... + 1614822.

Almost surely, 2^10695552048 is an apocalyptic number.

10695552048 is a gapful number since it is divisible by the number (18) 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 10695552048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307494944).

10695552048 is an abundant number, since it is smaller than the sum of its proper divisors (21919437840).

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

10695552048 is a wasteful number, since it uses less digits than its factorization.

10695552048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 10695552048 in words is "ten billion, six hundred ninety-five million, five hundred fifty-two thousand, forty-eight".