48745028107200 has 336 divisors, whose sum is σ = 164573828457984. Its totient is φ = 12624983654400.

The previous prime is 48745028107177. The next prime is 48745028107201. The reversal of 48745028107200 is 270182054784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48745028107200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48745028107201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28728912 + ... + 30378288.

Almost surely, 2^{48745028107200} is an apocalyptic number.

48745028107200 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 48745028107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82286914228992).

48745028107200 is an abundant number, since it is smaller than the sum of its proper divisors (115828800350784).

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

48745028107200 is a wasteful number, since it uses less digits than its factorization.

48745028107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649580 (or 1649565 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 48745028107200 in words is "forty-eight trillion, seven hundred forty-five billion, twenty-eight million, one hundred seven thousand, two hundred".