7835161850880 has 2112 divisors, whose sum is σ = 33657129031680. Its totient is φ = 1510669025280.

The previous prime is 7835161850833. The next prime is 7835161850891. The reversal of 7835161850880 is 880581615387.

It is a super-2 number, since 2×7835161850880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25521699687 + ... + 25521699993.

It is an arithmetic number, because the mean of its divisors is an integer number (15936140640).

Almost surely, 2^{7835161850880} is an apocalyptic number.

7835161850880 is a gapful number since it is divisible by the number (70) 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 7835161850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828564515840).

7835161850880 is an abundant number, since it is smaller than the sum of its proper divisors (25821967180800).

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

7835161850880 is a wasteful number, since it uses less digits than its factorization.

7835161850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 60.

The spelling of 7835161850880 in words is "seven trillion, eight hundred thirty-five billion, one hundred sixty-one million, eight hundred fifty thousand, eight hundred eighty".