10044897513000 has 512 divisors, whose sum is σ = 36263338675200. Its totient is φ = 2267443200000.

The previous prime is 10044897512857. The next prime is 10044897513029. The reversal of 10044897513000 is 31579844001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1826010250 + ... + 1826015750.

It is an arithmetic number, because the mean of its divisors is an integer number (70826833350).

Almost surely, 2^{10044897513000} is an apocalyptic number.

10044897513000 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 10044897513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131669337600).

10044897513000 is an abundant number, since it is smaller than the sum of its proper divisors (26218441162200).

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

10044897513000 is a wasteful number, since it uses less digits than its factorization.

10044897513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10044897513000 in words is "ten trillion, forty-four billion, eight hundred ninety-seven million, five hundred thirteen thousand".