5703953472000 has 1280 divisors, whose sum is σ = 24184859212800. Its totient is φ = 1298173132800.

The previous prime is 5703953471999. The next prime is 5703953472001. The reversal of 5703953472000 is 2743593075.

5703953472000 is a `hidden beast` number, since 5 + 70 + 39 + 5 + 347 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5703953471999) and next prime (5703953472001).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×5703953472000³ (a number of 39 digits) contains 333 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 (5703953472001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3253823124 + ... + 3253824876.

It is an arithmetic number, because the mean of its divisors is an integer number (18894421260).

Almost surely, 2^{5703953472000} is an apocalyptic number.

5703953472000 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 5703953472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092429606400).

5703953472000 is an abundant number, since it is smaller than the sum of its proper divisors (18480905740800).

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

5703953472000 is a wasteful number, since it uses less digits than its factorization.

5703953472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 5703953472000 in words is "five trillion, seven hundred three billion, nine hundred fifty-three million, four hundred seventy-two thousand".