5648735232000 has 3136 divisors, whose sum is σ = 25744274509824. Its totient is φ = 1208726323200.

The previous prime is 5648735231987. The next prime is 5648735232013. The reversal of 5648735232000 is 2325378465.

5648735232000 is a `hidden beast` number, since 56 + 4 + 8 + 73 + 523 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5648735231987) and next prime (5648735232013).

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 223 ways as a sum of consecutive naturals, for example, 120185855977 + ... + 120185856023.

Almost surely, 2^{5648735232000} is an apocalyptic number.

5648735232000 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 5648735232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12872137254912).

5648735232000 is an abundant number, since it is smaller than the sum of its proper divisors (20095539277824).

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

5648735232000 is an frugal number, since it uses more digits than its factorization.

5648735232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

It can be divided in two parts, 5648735 and 232000, that added together give a triangular number (5880735 = T₃₄₂₉).

The spelling of 5648735232000 in words is "five trillion, six hundred forty-eight billion, seven hundred thirty-five million, two hundred thirty-two thousand".