5701082393088 has 960 divisors, whose sum is σ = 18083194601472. Its totient is φ = 1790873763840.

The previous prime is 5701082393063. The next prime is 5701082393089. The reversal of 5701082393088 is 8803932801075.

5701082393088 is a `hidden beast` number, since 5 + 70 + 108 + 2 + 393 + 0 + 88 = 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 (5701082393089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44890412481 + ... + 44890412607.

Almost surely, 2^{5701082393088} 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 5701082393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041597300736).

5701082393088 is an abundant number, since it is smaller than the sum of its proper divisors (12382112208384).

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

5701082393088 is a wasteful number, since it uses less digits than its factorization.

5701082393088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5701082393088 in words is "five trillion, seven hundred one billion, eighty-two million, three hundred ninety-three thousand, eighty-eight".