48059770798080 has 1088 divisors, whose sum is σ = 174372664128000. Its totient is φ = 12713698787328.

The previous prime is 48059770798073. The next prime is 48059770798087. The reversal of 48059770798080 is 8089707795084.

48059770798080 is a `hidden beast` number, since 480 + 5 + 9 + 7 + 70 + 79 + 8 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48059770798073) and next prime (48059770798087).

It is a super-3 number, since 3×48059770798080³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48059770798087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142610595672 + ... + 142610596008.

Almost surely, 2^{48059770798080} is an apocalyptic number.

48059770798080 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 48059770798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87186332064000).

48059770798080 is an abundant number, since it is smaller than the sum of its proper divisors (126312893329920).

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

48059770798080 is an frugal number, since it uses more digits than its factorization.

48059770798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 48059770798080 in words is "forty-eight trillion, fifty-nine billion, seven hundred seventy million, seven hundred ninety-eight thousand, eighty".