5762865414000 has 320 divisors, whose sum is σ = 19602680348160. Its totient is φ = 1452507033600.

The previous prime is 5762865413993. The next prime is 5762865414023. The reversal of 5762865414000 is 4145682675.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49303627 + ... + 49420373.

It is an arithmetic number, because the mean of its divisors is an integer number (61258376088).

Almost surely, 2^{5762865414000} is an apocalyptic number.

5762865414000 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 5762865414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9801340174080).

5762865414000 is an abundant number, since it is smaller than the sum of its proper divisors (13839814934160).

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

5762865414000 is a wasteful number, since it uses less digits than its factorization.

5762865414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117225 (or 117209 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 5762865414000 in words is "five trillion, seven hundred sixty-two billion, eight hundred sixty-five million, four hundred fourteen thousand".