48787054258176 has 768 divisors, whose sum is σ = 158869226880000. Its totient is φ = 14702141177856.

The previous prime is 48787054258127. The next prime is 48787054258223. The reversal of 48787054258176 is 67185245078784.

48787054258176 is a `hidden beast` number, since 4 + 8 + 7 + 8 + 7 + 0 + 542 + 5 + 8 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×48787054258176³ (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8621141235 + ... + 8621146893.

It is an arithmetic number, because the mean of its divisors is an integer number (206860972500).

Almost surely, 2^{48787054258176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48787054258176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79434613440000).

48787054258176 is an abundant number, since it is smaller than the sum of its proper divisors (110082172621824).

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

48787054258176 is a wasteful number, since it uses less digits than its factorization.

48787054258176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 48787054258176 in words is "forty-eight trillion, seven hundred eighty-seven billion, fifty-four million, two hundred fifty-eight thousand, one hundred seventy-six".