48513197441280 has 3456 divisors, whose sum is σ = 202566160613376. Its totient is φ = 9743066726400.

The previous prime is 48513197441243. The next prime is 48513197441329. The reversal of 48513197441280 is 8214479131584.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 48513197441280.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 381993680577 + ... + 381993680703.

It is an arithmetic number, because the mean of its divisors is an integer number (58612893696).

Almost surely, 2^{48513197441280} is an apocalyptic number.

48513197441280 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 48513197441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101283080306688).

48513197441280 is an abundant number, since it is smaller than the sum of its proper divisors (154052963172096).

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

48513197441280 is a wasteful number, since it uses less digits than its factorization.

48513197441280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 48513197441280 in words is "forty-eight trillion, five hundred thirteen billion, one hundred ninety-seven million, four hundred forty-one thousand, two hundred eighty".