48906577198080 has 2816 divisors, whose sum is σ = 215334390988800. Its totient is φ = 10438235652096.

The previous prime is 48906577198069. The next prime is 48906577198099. The reversal of 48906577198080 is 8089177560984.

48906577198080 is a `hidden beast` number, since 48 + 9 + 0 + 6 + 577 + 1 + 9 + 8 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 385091158977 + ... + 385091159103.

Almost surely, 2^{48906577198080} is an apocalyptic number.

48906577198080 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 48906577198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107667195494400).

48906577198080 is an abundant number, since it is smaller than the sum of its proper divisors (166427813790720).

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

48906577198080 is an frugal number, since it uses more digits than its factorization.

48906577198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 48906577198080 in words is "forty-eight trillion, nine hundred six billion, five hundred seventy-seven million, one hundred ninety-eight thousand, eighty".