10253355840 has 1344 divisors, whose sum is σ = 47867742720. Its totient is φ = 2069286912.

The previous prime is 10253355839. The next prime is 10253355859. The reversal of 10253355840 is 4855335201.

10253355840 is a `hidden beast` number, since 10 + 2 + 53 + 3 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 10253355795 and 10253355804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445798069 + ... + 445798091.

It is an arithmetic number, because the mean of its divisors is an integer number (35615880).

Almost surely, 2^10253355840 is an apocalyptic number.

10253355840 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 10253355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23933871360).

10253355840 is an abundant number, since it is smaller than the sum of its proper divisors (37614386880).

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

10253355840 is an equidigital number, since it uses as much as digits as its factorization.

10253355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10253355840 in words is "ten billion, two hundred fifty-three million, three hundred fifty-five thousand, eight hundred forty".