8048805062400 has 216 divisors, whose sum is σ = 29514149011760. Its totient is φ = 2146347970560.

The previous prime is 8048805062357. The next prime is 8048805062401. The reversal of 8048805062400 is 42605088408.

8048805062400 is a `hidden beast` number, since 8 + 0 + 48 + 80 + 506 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8048805062401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23116567 + ... + 23462166.

Almost surely, 2^{8048805062400} is an apocalyptic number.

8048805062400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8048805062400 is an abundant number, since it is smaller than the sum of its proper divisors (21465343949360).

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

8048805062400 is a wasteful number, since it uses less digits than its factorization.

8048805062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46578768 (or 46578743 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 8048805062400 in words is "eight trillion, forty-eight billion, eight hundred five million, sixty-two thousand, four hundred".