48583365935400 has 288 divisors, whose sum is σ = 170730532379160. Its totient is φ = 12367574968320.

The previous prime is 48583365935389. The next prime is 48583365935431. The reversal of 48583365935400 is 453956338584.

It is a happy number.

48583365935400 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 3 + 36 + 59 + 3 + 540 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8552361011364 + 40031004924036 = 2924442^2 + 6327006^2 .

It is a super-2 number, since 2×48583365935400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3352087 + ... + 10411686.

Almost surely, 2^{48583365935400} is an apocalyptic number.

48583365935400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48583365935400 is an abundant number, since it is smaller than the sum of its proper divisors (122147166443760).

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

48583365935400 is a wasteful number, since it uses less digits than its factorization.

48583365935400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763885 (or 13763873 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 48583365935400 in words is "forty-eight trillion, five hundred eighty-three billion, three hundred sixty-five million, nine hundred thirty-five thousand, four hundred".