48501774190080 has 960 divisors, whose sum is σ = 175461567240960. Its totient is φ = 12840323088384.

The previous prime is 48501774190069. The next prime is 48501774190099. The reversal of 48501774190080 is 8009147710584.

48501774190080 is a `hidden beast` number, since 4 + 8 + 50 + 177 + 419 + 0 + 0 + 8 + 0 = 666.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 48501774189999 and 48501774190026.

It is a congruent number.

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, 82626531547 + ... + 82626532133.

It is an arithmetic number, because the mean of its divisors is an integer number (182772465876).

Almost surely, 2^{48501774190080} is an apocalyptic number.

48501774190080 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 48501774190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87730783620480).

48501774190080 is an abundant number, since it is smaller than the sum of its proper divisors (126959793050880).

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

48501774190080 is an equidigital number, since it uses as much as digits as its factorization.

48501774190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 48501774190080 in words is "forty-eight trillion, five hundred one billion, seven hundred seventy-four million, one hundred ninety thousand, eighty".