48679178240 has 208 divisors, whose sum is σ = 145645153920. Its totient is φ = 15172239360.

The previous prime is 48679178231. The next prime is 48679178293. The reversal of 48679178240 is 4287197684.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561526 + ... + 1592394.

Almost surely, 2^48679178240 is an apocalyptic number.

48679178240 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 48679178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72822576960).

48679178240 is an abundant number, since it is smaller than the sum of its proper divisors (96965975680).

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

48679178240 is a wasteful number, since it uses less digits than its factorization.

48679178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30916 (or 30894 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 48679178240 in words is "forty-eight billion, six hundred seventy-nine million, one hundred seventy-eight thousand, two hundred forty".