10648970542080 has 528 divisors, whose sum is σ = 39850104490560. Its totient is φ = 2613807415296.

The previous prime is 10648970542061. The next prime is 10648970542099. The reversal of 10648970542080 is 8024507984601.

It is a happy number.

10648970542080 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 97 + 0 + 542 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10648970542061) and next prime (10648970542099).

It is a super-2 number, since 2×10648970542080² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211435941 + ... + 211486299.

Almost surely, 2^{10648970542080} is an apocalyptic number.

10648970542080 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 10648970542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925052245280).

10648970542080 is an abundant number, since it is smaller than the sum of its proper divisors (29201133948480).

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

10648970542080 is a wasteful number, since it uses less digits than its factorization.

10648970542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50756 (or 50735 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10648970542080 in words is "ten trillion, six hundred forty-eight billion, nine hundred seventy million, five hundred forty-two thousand, eighty".