10251226152360 has 640 divisors, whose sum is σ = 37518599653920. Its totient is φ = 2499961356288.

The previous prime is 10251226152347. The next prime is 10251226152367. The reversal of 10251226152360 is 6325162215201.

10251226152360 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 2 + 2 + 615 + 2 + 36 + 0 = 666.

10251226152360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3999416021316 + 6251810131044 = 1999854^2 + 2500362^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10251226152367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1738376932 + ... + 1738382828.

Almost surely, 2^{10251226152360} is an apocalyptic number.

10251226152360 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 10251226152360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759299826960).

10251226152360 is an abundant number, since it is smaller than the sum of its proper divisors (27267373501560).

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

10251226152360 is a wasteful number, since it uses less digits than its factorization.

10251226152360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10251226152360 its reverse (6325162215201), we get a palindrome (16576388367561).

The spelling of 10251226152360 in words is "ten trillion, two hundred fifty-one billion, two hundred twenty-six million, one hundred fifty-two thousand, three hundred sixty".