48757555575784 has 64 divisors (see below), whose sum is σ = 100601919000000. Its totient is φ = 21969664734720.

The previous prime is 48757555575763. The next prime is 48757555575791.

48757555575784 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (82) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48757555575698 and 48757555575707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816892 + ... + 10268884.

It is an arithmetic number, because the mean of its divisors is an integer number (1571904984375).

Almost surely, 2^{48757555575784} is an apocalyptic number.

48757555575784 is a gapful number since it is divisible by the number (44) 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 48757555575784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50300959500000).

48757555575784 is an abundant number, since it is smaller than the sum of its proper divisors (51844363424216).

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

48757555575784 is a wasteful number, since it uses less digits than its factorization.

48757555575784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7452658 (or 7452654 counting only the distinct ones).

The product of its digits is 38416000000, while the sum is 82.

The spelling of 48757555575784 in words is "forty-eight trillion, seven hundred fifty-seven billion, five hundred fifty-five million, five hundred seventy-five thousand, seven hundred eighty-four".