48564860198400 has 2880 divisors, whose sum is σ = 234978290426880. Its totient is φ = 9284419584000.

The previous prime is 48564860198389. The next prime is 48564860198417. The reversal of 48564860198400 is 489106846584.

48564860198400 is a `hidden beast` number, since 4 + 8 + 5 + 64 + 86 + 0 + 1 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 4581153100 + ... + 4581163700.

It is an arithmetic number, because the mean of its divisors is an integer number (81589684176).

Almost surely, 2^{48564860198400} is an apocalyptic number.

48564860198400 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 48564860198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117489145213440).

48564860198400 is an abundant number, since it is smaller than the sum of its proper divisors (186413430228480).

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

48564860198400 is a wasteful number, since it uses less digits than its factorization.

48564860198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 48564860198400 in words is "forty-eight trillion, five hundred sixty-four billion, eight hundred sixty million, one hundred ninety-eight thousand, four hundred".