48005267017500 has 1200 divisors, whose sum is σ = 178655026541376. Its totient is φ = 11147051520000.

The previous prime is 48005267017489. The next prime is 48005267017507. The reversal of 48005267017500 is 571076250084.

48005267017500 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 526 + 70 + 1 + 7 + 50 + 0 = 666.

48005267017500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48005267017500² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48005267017507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 4419962070 + ... + 4419972930.

Almost surely, 2^{48005267017500} 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 48005267017500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89327513270688).

48005267017500 is an abundant number, since it is smaller than the sum of its proper divisors (130649759523876).

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

48005267017500 is a wasteful number, since it uses less digits than its factorization.

48005267017500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11006 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 48005267017500 in words is "forty-eight trillion, five billion, two hundred sixty-seven million, seventeen thousand, five hundred".