5780540736000 has 1920 divisors, whose sum is σ = 23087302318080. Its totient is φ = 1383727104000.

The previous prime is 5780540735989. The next prime is 5780540736029. The reversal of 5780540736000 is 6370450875.

5780540736000 is a `hidden beast` number, since 5 + 78 + 0 + 540 + 7 + 36 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41586623931 + ... + 41586624069.

It is an arithmetic number, because the mean of its divisors is an integer number (12024636624).

Almost surely, 2^{5780540736000} is an apocalyptic number.

5780540736000 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 5780540736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11543651159040).

5780540736000 is an abundant number, since it is smaller than the sum of its proper divisors (17306761582080).

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

5780540736000 is a wasteful number, since it uses less digits than its factorization.

5780540736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 5780540736000 in words is "five trillion, seven hundred eighty billion, five hundred forty million, seven hundred thirty-six thousand".