10093261347840 has 704 divisors, whose sum is σ = 36000246938112. Its totient is φ = 2412975882240.

The previous prime is 10093261347817. The next prime is 10093261347857. The reversal of 10093261347840 is 4874316239001.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10093261347840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1492420299 + ... + 1492427061.

Almost surely, 2^{10093261347840} is an apocalyptic number.

10093261347840 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 10093261347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000123469056).

10093261347840 is an abundant number, since it is smaller than the sum of its proper divisors (25906985590272).

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

10093261347840 is an equidigital number, since it uses as much as digits as its factorization.

10093261347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 10093261347840 in words is "ten trillion, ninety-three billion, two hundred sixty-one million, three hundred forty-seven thousand, eight hundred forty".