5770460652000 has 768 divisors, whose sum is σ = 21863741792256. Its totient is φ = 1317150720000.

The previous prime is 5770460651993. The next prime is 5770460652001. The reversal of 5770460652000 is 2560640775.

It is a super-2 number, since 2×5770460652000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5770460652001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151384944 + ... + 151423056.

It is an arithmetic number, because the mean of its divisors is an integer number (28468413792).

Almost surely, 2^{5770460652000} is an apocalyptic number.

5770460652000 is a gapful number since it is divisible by the number (50) 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 5770460652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931870896128).

5770460652000 is an abundant number, since it is smaller than the sum of its proper divisors (16093281140256).

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

5770460652000 is a wasteful number, since it uses less digits than its factorization.

5770460652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38220 (or 38202 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 5770460652000 in words is "five trillion, seven hundred seventy billion, four hundred sixty million, six hundred fifty-two thousand".