10144854720 has 2240 divisors, whose sum is σ = 53533218816. Its totient is φ = 1751777280.

The previous prime is 10144854719. The next prime is 10144854763. The reversal of 10144854720 is 2745844101.

It is a happy number.

10144854720 is a `hidden beast` number, since 101 + 4 + 4 + 8 + 547 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 441080629 + ... + 441080651.

Almost surely, 2^10144854720 is an apocalyptic number.

10144854720 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 10144854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26766609408).

10144854720 is an abundant number, since it is smaller than the sum of its proper divisors (43388364096).

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

10144854720 is a wasteful number, since it uses less digits than its factorization.

10144854720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10144854720 in words is "ten billion, one hundred forty-four million, eight hundred fifty-four thousand, seven hundred twenty".