7152104282400 has 2304 divisors, whose sum is σ = 33801836544000. Its totient is φ = 1415986790400.

The previous prime is 7152104282347. The next prime is 7152104282413. The reversal of 7152104282400 is 42824012517.

7152104282400 is a `hidden beast` number, since 7 + 15 + 210 + 4 + 28 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3810390262 + ... + 3810392138.

It is an arithmetic number, because the mean of its divisors is an integer number (14670936000).

Almost surely, 2^{7152104282400} is an apocalyptic number.

7152104282400 is a gapful number since it is divisible by the number (70) 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 7152104282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16900918272000).

7152104282400 is an abundant number, since it is smaller than the sum of its proper divisors (26649732261600).

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

7152104282400 is a wasteful number, since it uses less digits than its factorization.

7152104282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 7152104282400 its reverse (42824012517), we get a palindrome (7194928294917).

The spelling of 7152104282400 in words is "seven trillion, one hundred fifty-two billion, one hundred four million, two hundred eighty-two thousand, four hundred".