5307453148800 has 768 divisors, whose sum is σ = 20685232310400. Its totient is φ = 1181417472000.

The previous prime is 5307453148729. The next prime is 5307453148819. The reversal of 5307453148800 is 88413547035.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5307453148800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73567146 + ... + 73639254.

Almost surely, 2^{5307453148800} is an apocalyptic number.

5307453148800 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 5307453148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342616155200).

5307453148800 is an abundant number, since it is smaller than the sum of its proper divisors (15377779161600).

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

5307453148800 is a wasteful number, since it uses less digits than its factorization.

5307453148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72205 (or 72188 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 5307453148800 in words is "five trillion, three hundred seven billion, four hundred fifty-three million, one hundred forty-eight thousand, eight hundred".