7885141152 has 288 divisors, whose sum is σ = 25946210304. Its totient is φ = 2084544000.

The previous prime is 7885141133. The next prime is 7885141169. The reversal of 7885141152 is 2511415887.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3352777 + ... + 3355127.

It is an arithmetic number, because the mean of its divisors is an integer number (90091008).

Almost surely, 2^7885141152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7885141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973105152).

7885141152 is an abundant number, since it is smaller than the sum of its proper divisors (18061069152).

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

7885141152 is a wasteful number, since it uses less digits than its factorization.

7885141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2417 counting only the distinct ones).

The product of its digits is 89600, while the sum is 42.

The square root of 7885141152 is about 88798.3172813539. The cubic root of 7885141152 is about 1990.3822529417.

The spelling of 7885141152 in words is "seven billion, eight hundred eighty-five million, one hundred forty-one thousand, one hundred fifty-two".