534048972800 has 168 divisors, whose sum is σ = 1513559051616. Its totient is φ = 183102013440.

The previous prime is 534048972733. The next prime is 534048972827. The reversal of 534048972800 is 8279840435.

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 11 ways as a sum of consecutive naturals, for example, 1247339 + ... + 1619861.

Almost surely, 2^534048972800 is an apocalyptic number.

534048972800 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 534048972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756779525808).

534048972800 is an abundant number, since it is smaller than the sum of its proper divisors (979510078816).

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

534048972800 is an equidigital number, since it uses as much as digits as its factorization.

534048972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372566 (or 372537 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 534048972800 in words is "five hundred thirty-four billion, forty-eight million, nine hundred seventy-two thousand, eight hundred".