9874152288000 has 4608 divisors, whose sum is σ = 50140726272000. Its totient is φ = 1885814784000.

The previous prime is 9874152287921. The next prime is 9874152288043. The reversal of 9874152288000 is 8822514789.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 42378335884 + ... + 42378336116.

It is an arithmetic number, because the mean of its divisors is an integer number (10881234000).

Almost surely, 2^{9874152288000} is an apocalyptic number.

9874152288000 is a gapful number since it is divisible by the number (90) 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 9874152288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25070363136000).

9874152288000 is an abundant number, since it is smaller than the sum of its proper divisors (40266573984000).

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

9874152288000 is a wasteful number, since it uses less digits than its factorization.

9874152288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 9874152288000 in words is "nine trillion, eight hundred seventy-four billion, one hundred fifty-two million, two hundred eighty-eight thousand".