10275948144 has 640 divisors, whose sum is σ = 39426048000. Its totient is φ = 2482099200.

The previous prime is 10275948139. The next prime is 10275948181. The reversal of 10275948144 is 44184957201.

10275948144 is a `hidden beast` number, since 10 + 2 + 7 + 594 + 8 + 1 + 44 = 666.

It is a super-2 number, since 2×10275948144² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10275948144.

It is a congruent number.

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, 44873022 + ... + 44873250.

It is an arithmetic number, because the mean of its divisors is an integer number (61603200).

Almost surely, 2^10275948144 is an apocalyptic number.

10275948144 is a gapful number since it is divisible by the number (14) 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 10275948144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713024000).

10275948144 is an abundant number, since it is smaller than the sum of its proper divisors (29150099856).

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

10275948144 is a wasteful number, since it uses less digits than its factorization.

10275948144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10275948144 in words is "ten billion, two hundred seventy-five million, nine hundred forty-eight thousand, one hundred forty-four".