48008177280 has 1152 divisors, whose sum is σ = 207838872000. Its totient is φ = 10439331840.

The previous prime is 48008177263. The next prime is 48008177297. The reversal of 48008177280 is 8277180084.

48008177280 is a `hidden beast` number, since 480 + 0 + 81 + 77 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48008177263) and next prime (48008177297).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 813697891 + ... + 813697949.

Almost surely, 2^48008177280 is an apocalyptic number.

48008177280 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 48008177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103919436000).

48008177280 is an abundant number, since it is smaller than the sum of its proper divisors (159830694720).

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

48008177280 is a wasteful number, since it uses less digits than its factorization.

48008177280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 48008177280 in words is "forty-eight billion, eight million, one hundred seventy-seven thousand, two hundred eighty".