48587556715200 has 840 divisors, whose sum is σ = 187379973711744. Its totient is φ = 12333109248000.

The previous prime is 48587556715199. The next prime is 48587556715283. The reversal of 48587556715200 is 251765578584.

It is a happy number.

48587556715200 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 7 + 556 + 71 + 5 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×48587556715200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 244974472 + ... + 245172728.

Almost surely, 2^{48587556715200} is an apocalyptic number.

48587556715200 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 48587556715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93689986855872).

48587556715200 is an abundant number, since it is smaller than the sum of its proper divisors (138792416996544).

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

48587556715200 is a wasteful number, since it uses less digits than its factorization.

48587556715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198383 (or 198359 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 63.

The spelling of 48587556715200 in words is "forty-eight trillion, five hundred eighty-seven billion, five hundred fifty-six million, seven hundred fifteen thousand, two hundred".