10144778088720 has 1280 divisors, whose sum is σ = 37885775155200. Its totient is φ = 2218917888000.

The previous prime is 10144778088703. The next prime is 10144778088721. The reversal of 10144778088720 is 2788087744101.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (10144778088721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24211880671 + ... + 24211881089.

It is an arithmetic number, because the mean of its divisors is an integer number (29598261840).

Almost surely, 2^{10144778088720} is an apocalyptic number.

10144778088720 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 10144778088720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942887577600).

10144778088720 is an abundant number, since it is smaller than the sum of its proper divisors (27740997066480).

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

10144778088720 is a wasteful number, since it uses less digits than its factorization.

10144778088720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 57.

The spelling of 10144778088720 in words is "ten trillion, one hundred forty-four billion, seven hundred seventy-eight million, eighty-eight thousand, seven hundred twenty".