48015267840 has 576 divisors, whose sum is σ = 185589986400. Its totient is φ = 11409555456.

The previous prime is 48015267829. The next prime is 48015267893. The reversal of 48015267840 is 4876251084.

48015267840 is a `hidden beast` number, since 4 + 80 + 1 + 526 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29766874 + ... + 29768486.

Almost surely, 2^48015267840 is an apocalyptic number.

48015267840 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 48015267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92794993200).

48015267840 is an abundant number, since it is smaller than the sum of its proper divisors (137574718560).

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

48015267840 is a wasteful number, since it uses less digits than its factorization.

48015267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48015267840 in words is "forty-eight billion, fifteen million, two hundred sixty-seven thousand, eight hundred forty".