5752956070400 has 1920 divisors, whose sum is σ = 20102124810240. Its totient is φ = 1580978995200.

The previous prime is 5752956070361. The next prime is 5752956070429. The reversal of 5752956070400 is 40706592575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 155485299182 + ... + 155485299218.

It is an arithmetic number, because the mean of its divisors is an integer number (10469856672).

Almost surely, 2^{5752956070400} is an apocalyptic number.

5752956070400 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 5752956070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10051062405120).

5752956070400 is an abundant number, since it is smaller than the sum of its proper divisors (14349168739840).

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

5752956070400 is a wasteful number, since it uses less digits than its factorization.

5752956070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 50.

The spelling of 5752956070400 in words is "five trillion, seven hundred fifty-two billion, nine hundred fifty-six million, seventy thousand, four hundred".