10698542058240 has 864 divisors, whose sum is σ = 40034370055680. Its totient is φ = 2629067341824.

The previous prime is 10698542058203. The next prime is 10698542058263. The reversal of 10698542058240 is 4285024589601.

10698542058240 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 8 + 54 + 2 + 0 + 582 + 4 + 0 = 666.

It is a super-2 number, since 2×10698542058240² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 2418840669 + ... + 2418845091.

Almost surely, 2^{10698542058240} is an apocalyptic number.

10698542058240 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 10698542058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20017185027840).

10698542058240 is an abundant number, since it is smaller than the sum of its proper divisors (29335827997440).

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

10698542058240 is a wasteful number, since it uses less digits than its factorization.

10698542058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10698542058240 in words is "ten trillion, six hundred ninety-eight billion, five hundred forty-two million, fifty-eight thousand, two hundred forty".