10142551622320 has 80 divisors (see below), whose sum is σ = 25406252333280. Its totient is φ = 3743340152832.

The previous prime is 10142551622297. The next prime is 10142551622347. The reversal of 10142551622320 is 2322615524101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10142551622320² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347812 + ... + 4517308.

It is an arithmetic number, because the mean of its divisors is an integer number (317578154166).

Almost surely, 2^{10142551622320} is an apocalyptic number.

10142551622320 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 10142551622320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703126166640).

10142551622320 is an abundant number, since it is smaller than the sum of its proper divisors (15263700710960).

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

10142551622320 is a wasteful number, since it uses less digits than its factorization.

10142551622320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171862 (or 4171856 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 10142551622320 in words is "ten trillion, one hundred forty-two billion, five hundred fifty-one million, six hundred twenty-two thousand, three hundred twenty".