49383509760 has 1152 divisors, whose sum is σ = 202738636800. Its totient is φ = 11430346752.

The previous prime is 49383509759. The next prime is 49383509869. The reversal of 49383509760 is 6790538394.

49383509760 is a `hidden beast` number, since 49 + 38 + 3 + 509 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49383509697 and 49383509706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 837008611 + ... + 837008669.

It is an arithmetic number, because the mean of its divisors is an integer number (175988400).

Almost surely, 2^49383509760 is an apocalyptic number.

49383509760 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 49383509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101369318400).

49383509760 is an abundant number, since it is smaller than the sum of its proper divisors (153355127040).

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

49383509760 is an equidigital number, since it uses as much as digits as its factorization.

49383509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 49383509760 in words is "forty-nine billion, three hundred eighty-three million, five hundred nine thousand, seven hundred sixty".