48125638512000 has 2048 divisors, whose sum is σ = 213409198080000. Its totient is φ = 10644286464000.

The previous prime is 48125638511957. The next prime is 48125638512103. The reversal of 48125638512000 is 21583652184.

48125638512000 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 5 + 638 + 5 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4593450762 + ... + 4593461238.

It is an arithmetic number, because the mean of its divisors is an integer number (104203710000).

Almost surely, 2^{48125638512000} is an apocalyptic number.

48125638512000 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 48125638512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106704599040000).

48125638512000 is an abundant number, since it is smaller than the sum of its proper divisors (165283559568000).

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

48125638512000 is a wasteful number, since it uses less digits than its factorization.

48125638512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 48125638512000 in words is "forty-eight trillion, one hundred twenty-five billion, six hundred thirty-eight million, five hundred twelve thousand".