48002345582400 has 3024 divisors, whose sum is σ = 208304894633472. Its totient is φ = 10778406912000.

The previous prime is 48002345582371. The next prime is 48002345582407. The reversal of 48002345582400 is 428554320084.

48002345582400 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 23 + 4 + 5 + 582 + 40 + 0 = 666.

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 (48002345582407) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 87755658927 + ... + 87755659473.

It is an arithmetic number, because the mean of its divisors is an integer number (68883893728).

Almost surely, 2^{48002345582400} is an apocalyptic number.

48002345582400 is a gapful number since it is divisible by the number (40) 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 48002345582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104152447316736).

48002345582400 is an abundant number, since it is smaller than the sum of its proper divisors (160302549051072).

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

48002345582400 is a wasteful number, since it uses less digits than its factorization.

48002345582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 48002345582400 in words is "forty-eight trillion, two billion, three hundred forty-five million, five hundred eighty-two thousand, four hundred".