10353401856 has 336 divisors, whose sum is σ = 35494228224. Its totient is φ = 2954133504.

The previous prime is 10353401809. The next prime is 10353401867. The reversal of 10353401856 is 65810435301.

10353401856 is a `hidden beast` number, since 103 + 534 + 0 + 18 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10353401856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934221 + ... + 13934963.

It is an arithmetic number, because the mean of its divisors is an integer number (105637584).

Almost surely, 2^10353401856 is an apocalyptic number.

10353401856 is a gapful number since it is divisible by the number (16) 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 10353401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747114112).

10353401856 is an abundant number, since it is smaller than the sum of its proper divisors (25140826368).

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

10353401856 is an frugal number, since it uses more digits than its factorization.

10353401856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 755 counting only the distinct ones).

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

The spelling of 10353401856 in words is "ten billion, three hundred fifty-three million, four hundred one thousand, eight hundred fifty-six".