10285740548820 has 480 divisors, whose sum is σ = 37588586112000. Its totient is φ = 2329863782400.

The previous prime is 10285740548801. The next prime is 10285740548827. The reversal of 10285740548820 is 2884504758201.

10285740548820 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 5 + 74 + 0 + 548 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285740548827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15699156 + ... + 16341204.

It is an arithmetic number, because the mean of its divisors is an integer number (78309554400).

Almost surely, 2^{10285740548820} is an apocalyptic number.

10285740548820 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 10285740548820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18794293056000).

10285740548820 is an abundant number, since it is smaller than the sum of its proper divisors (27302845563180).

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

10285740548820 is a wasteful number, since it uses less digits than its factorization.

10285740548820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642141 (or 642130 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 10285740548820 in words is "ten trillion, two hundred eighty-five billion, seven hundred forty million, five hundred forty-eight thousand, eight hundred twenty".