48220428126720 has 960 divisors, whose sum is σ = 170379851241600. Its totient is φ = 11617692549120.

The previous prime is 48220428126697. The next prime is 48220428126743. The reversal of 48220428126720 is 2762182402284.

It is an interprime number because it is at equal distance from previous prime (48220428126697) and next prime (48220428126743).

It is a tau number, because it is divible by the number of its divisors (960).

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 48220428126720.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11650258411 + ... + 11650262549.

It is an arithmetic number, because the mean of its divisors is an integer number (177479011710).

Almost surely, 2^{48220428126720} is an apocalyptic number.

48220428126720 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 48220428126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85189925620800).

48220428126720 is an abundant number, since it is smaller than the sum of its proper divisors (122159423114880).

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

48220428126720 is a wasteful number, since it uses less digits than its factorization.

48220428126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 48220428126720 in words is "forty-eight trillion, two hundred twenty billion, four hundred twenty-eight million, one hundred twenty-six thousand, seven hundred twenty".