10254222304000 has 144 divisors (see below), whose sum is σ = 25807903220736. Its totient is φ = 4059402240000.

The previous prime is 10254222303989. The next prime is 10254222304021. The reversal of 10254222304000 is 40322245201.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1452225 + ... + 4755775.

It is an arithmetic number, because the mean of its divisors is an integer number (179221550144).

Almost surely, 2^{10254222304000} is an apocalyptic number.

10254222304000 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 10254222304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903951610368).

10254222304000 is an abundant number, since it is smaller than the sum of its proper divisors (15553680916736).

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

10254222304000 is an frugal number, since it uses more digits than its factorization.

10254222304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303679 (or 3303655 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10254222304000 its reverse (40322245201), we get a palindrome (10294544549201).

The spelling of 10254222304000 in words is "ten trillion, two hundred fifty-four billion, two hundred twenty-two million, three hundred four thousand".