10270398225360 has 1280 divisors, whose sum is σ = 42920772894720. Its totient is φ = 1969457725440.

The previous prime is 10270398225359. The next prime is 10270398225383. The reversal of 10270398225360 is 6352289307201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9311330569 + ... + 9311331671.

It is an arithmetic number, because the mean of its divisors is an integer number (33531853824).

Almost surely, 2^{10270398225360} is an apocalyptic number.

10270398225360 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 10270398225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21460386447360).

10270398225360 is an abundant number, since it is smaller than the sum of its proper divisors (32650374669360).

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

10270398225360 is a wasteful number, since it uses less digits than its factorization.

10270398225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 10270398225360 in words is "ten trillion, two hundred seventy billion, three hundred ninety-eight million, two hundred twenty-five thousand, three hundred sixty".