5735257920000 has 4800 divisors, whose sum is σ = 27980323430400. Its totient is φ = 1149603840000.

The previous prime is 5735257919999. The next prime is 5735257920013. The reversal of 5735257920000 is 297525375.

5735257920000 is a `hidden beast` number, since 5 + 7 + 3 + 52 + 579 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 185008319985 + ... + 185008320015.

It is an arithmetic number, because the mean of its divisors is an integer number (5829234048).

Almost surely, 2^{5735257920000} is an apocalyptic number.

5735257920000 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 5735257920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990161715200).

5735257920000 is an abundant number, since it is smaller than the sum of its proper divisors (22245065510400).

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

5735257920000 is a wasteful number, since it uses less digits than its factorization.

5735257920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 5735257920000 in words is "five trillion, seven hundred thirty-five billion, two hundred fifty-seven million, nine hundred twenty thousand".