2825727141888 has 1152 divisors, whose sum is σ = 10261459353600. Its totient is φ = 732999352320.

The previous prime is 2825727141877. The next prime is 2825727141911. The reversal of 2825727141888 is 8881417275282.

It is a happy number.

2825727141888 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 72 + 71 + 418 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27434244045 + ... + 27434244147.

It is an arithmetic number, because the mean of its divisors is an integer number (8907516800).

Almost surely, 2^{2825727141888} is an apocalyptic number.

2825727141888 is a gapful number since it is divisible by the number (28) 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 2825727141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130729676800).

2825727141888 is an abundant number, since it is smaller than the sum of its proper divisors (7435732211712).

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

2825727141888 is a wasteful number, since it uses less digits than its factorization.

2825727141888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 165 counting only the distinct ones).

The product of its digits is 32112640, while the sum is 63.

The spelling of 2825727141888 in words is "two trillion, eight hundred twenty-five billion, seven hundred twenty-seven million, one hundred forty-one thousand, eight hundred eighty-eight".