48019758145920 has 1024 divisors, whose sum is σ = 193882070016000. Its totient is φ = 11265520435200.

The previous prime is 48019758145871. The next prime is 48019758145973. The reversal of 48019758145920 is 2954185791084.

48019758145920 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 9 + 7 + 581 + 45 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477240576 + ... + 477341184.

It is an arithmetic number, because the mean of its divisors is an integer number (189337959000).

Almost surely, 2^{48019758145920} is an apocalyptic number.

48019758145920 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 48019758145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96941035008000).

48019758145920 is an abundant number, since it is smaller than the sum of its proper divisors (145862311870080).

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

48019758145920 is a wasteful number, since it uses less digits than its factorization.

48019758145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100691 (or 100661 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 48019758145920 in words is "forty-eight trillion, nineteen billion, seven hundred fifty-eight million, one hundred forty-five thousand, nine hundred twenty".