48670852721400 has 1152 divisors, whose sum is σ = 207165438480000. Its totient is φ = 10174621040640.

The previous prime is 48670852721353. The next prime is 48670852721419. The reversal of 48670852721400 is 412725807684.

48670852721400 is a `hidden beast` number, since 4 + 8 + 6 + 70 + 8 + 527 + 2 + 1 + 40 + 0 = 666.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 874827984 + ... + 874883616.

Almost surely, 2^{48670852721400} is an apocalyptic number.

48670852721400 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 48670852721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103582719240000).

48670852721400 is an abundant number, since it is smaller than the sum of its proper divisors (158494585758600).

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

48670852721400 is a wasteful number, since it uses less digits than its factorization.

48670852721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55798 (or 55772 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 48670852721400 in words is "forty-eight trillion, six hundred seventy billion, eight hundred fifty-two million, seven hundred twenty-one thousand, four hundred".