10213545934080 has 720 divisors, whose sum is σ = 37827893182464. Its totient is φ = 2628555079680.

The previous prime is 10213545934079. The next prime is 10213545934091. The reversal of 10213545934080 is 8043954531201.

10213545934080 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 54 + 593 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1230988492 + ... + 1230996788.

Almost surely, 2^{10213545934080} is an apocalyptic number.

10213545934080 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 10213545934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913946591232).

10213545934080 is an abundant number, since it is smaller than the sum of its proper divisors (27614347248384).

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

10213545934080 is an equidigital number, since it uses as much as digits as its factorization.

10213545934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10213545934080 in words is "ten trillion, two hundred thirteen billion, five hundred forty-five million, nine hundred thirty-four thousand, eighty".