10005822369792 has 624 divisors, whose sum is σ = 31111153443552. Its totient is φ = 3210529996800.

The previous prime is 10005822369727. The next prime is 10005822369793. The reversal of 10005822369792 is 29796322850001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005822369793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3572230792 + ... + 3572233592.

It is an arithmetic number, because the mean of its divisors is an integer number (49857617698).

Almost surely, 2^{10005822369792} is an apocalyptic number.

10005822369792 is a gapful number since it is divisible by the number (12) 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 10005822369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15555576721776).

10005822369792 is an abundant number, since it is smaller than the sum of its proper divisors (21105331073760).

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

10005822369792 is an frugal number, since it uses more digits than its factorization.

10005822369792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10005822369792 in words is "ten trillion, five billion, eight hundred twenty-two million, three hundred sixty-nine thousand, seven hundred ninety-two".