48362098579200 has 1296 divisors, whose sum is σ = 200068660786176. Its totient is φ = 10917015552000.

The previous prime is 48362098579183. The next prime is 48362098579211. The reversal of 48362098579200 is 297589026384.

48362098579200 is a `hidden beast` number, since 4 + 8 + 36 + 2 + 0 + 9 + 8 + 579 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19017733129 + ... + 19017735671.

It is an arithmetic number, because the mean of its divisors is an integer number (154373966656).

Almost surely, 2^{48362098579200} is an apocalyptic number.

48362098579200 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 48362098579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100034330393088).

48362098579200 is an abundant number, since it is smaller than the sum of its proper divisors (151706562206976).

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

48362098579200 is a wasteful number, since it uses less digits than its factorization.

48362098579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 48362098579200 in words is "forty-eight trillion, three hundred sixty-two billion, ninety-eight million, five hundred seventy-nine thousand, two hundred".