5701025477790 has 640 divisors, whose sum is σ = 16990323609600. Its totient is φ = 1365624852480.

The previous prime is 5701025477737. The next prime is 5701025477869. The reversal of 5701025477790 is 977745201075.

5701025477790 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 0 + 2 + 547 + 7 + 7 + 90 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12986390391 + ... + 12986390829.

It is an arithmetic number, because the mean of its divisors is an integer number (26547380640).

Almost surely, 2^{5701025477790} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5701025477790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495161804800).

5701025477790 is an abundant number, since it is smaller than the sum of its proper divisors (11289298131810).

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

5701025477790 is a wasteful number, since it uses less digits than its factorization.

5701025477790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 5701025477790 in words is "five trillion, seven hundred one billion, twenty-five million, four hundred seventy-seven thousand, seven hundred ninety".