10355402880 has 320 divisors, whose sum is σ = 37688765400. Its totient is φ = 2708619264.

The previous prime is 10355402873. The next prime is 10355402891. The reversal of 10355402880 is 8820455301.

It is a happy number.

10355402880 is a `hidden beast` number, since 1 + 0 + 3 + 554 + 0 + 28 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10059287616 + 296115264 = 100296^2 + 17208^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×10355402880³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2745636 + ... + 2749404.

Almost surely, 2^10355402880 is an apocalyptic number.

10355402880 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 10355402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844382700).

10355402880 is an abundant number, since it is smaller than the sum of its proper divisors (27333362520).

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

10355402880 is an equidigital number, since it uses as much as digits as its factorization.

10355402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10355402880 in words is "ten billion, three hundred fifty-five million, four hundred two thousand, eight hundred eighty".