5703801835680 has 3072 divisors, whose sum is σ = 25184162304000. Its totient is φ = 1197359235072.

The previous prime is 5703801835679. The next prime is 5703801835687. The reversal of 5703801835680 is 865381083075.

5703801835680 is a `hidden beast` number, since 5 + 7 + 0 + 380 + 183 + 5 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5703801835687) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 107618902534 + ... + 107618902586.

It is an arithmetic number, because the mean of its divisors is an integer number (8197969500).

Almost surely, 2^{5703801835680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5703801835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592081152000).

5703801835680 is an abundant number, since it is smaller than the sum of its proper divisors (19480360468320).

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

5703801835680 is a wasteful number, since it uses less digits than its factorization.

5703801835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5703801835680 in words is "five trillion, seven hundred three billion, eight hundred one million, eight hundred thirty-five thousand, six hundred eighty".