5729495040000 has 2400 divisors, whose sum is σ = 23879499114240. Its totient is φ = 1349517312000.

The previous prime is 5729495039987. The next prime is 5729495040001. The reversal of 5729495040000 is 405949275.

5729495040000 is a `hidden beast` number, since 5 + 72 + 94 + 95 + 0 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×5729495040000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5729495040001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108103679974 + ... + 108103680026.

Almost surely, 2^{5729495040000} is an apocalyptic number.

5729495040000 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 5729495040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939749557120).

5729495040000 is an abundant number, since it is smaller than the sum of its proper divisors (18150004074240).

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

5729495040000 is an equidigital number, since it uses as much as digits as its factorization.

5729495040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5729495040000 in words is "five trillion, seven hundred twenty-nine billion, four hundred ninety-five million, forty thousand".