7870288298400 has 1152 divisors, whose sum is σ = 33249384403200. Its totient is φ = 1775458713600.

The previous prime is 7870288298363. The next prime is 7870288298441. The reversal of 7870288298400 is 48928820787.

7870288298400 is a `hidden beast` number, since 78 + 70 + 2 + 8 + 8 + 2 + 98 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 359477854 + ... + 359499746.

It is an arithmetic number, because the mean of its divisors is an integer number (28862312850).

Almost surely, 2^{7870288298400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7870288298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16624692201600).

7870288298400 is an abundant number, since it is smaller than the sum of its proper divisors (25379096104800).

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

7870288298400 is a wasteful number, since it uses less digits than its factorization.

7870288298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22039 (or 22020 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 7870288298400 in words is "seven trillion, eight hundred seventy billion, two hundred eighty-eight million, two hundred ninety-eight thousand, four hundred".