10858953684480 has 960 divisors, whose sum is σ = 40551764520960. Its totient is φ = 2468448829440.

The previous prime is 10858953684443. The next prime is 10858953684517. The reversal of 10858953684480 is 8448635985801.

It is an interprime number because it is at equal distance from previous prime (10858953684443) and next prime (10858953684517).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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, 4849911201 + ... + 4849913439.

It is an arithmetic number, because the mean of its divisors is an integer number (42241421376).

Almost surely, 2^{10858953684480} is an apocalyptic number.

10858953684480 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 10858953684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275882260480).

10858953684480 is an abundant number, since it is smaller than the sum of its proper divisors (29692810836480).

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

10858953684480 is a wasteful number, since it uses less digits than its factorization.

10858953684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 69.

The spelling of 10858953684480 in words is "ten trillion, eight hundred fifty-eight billion, nine hundred fifty-three million, six hundred eighty-four thousand, four hundred eighty".