49754057760 has 768 divisors, whose sum is σ = 203205542400. Its totient is φ = 11329781760.

The previous prime is 49754057753. The next prime is 49754057779. The reversal of 49754057760 is 6775045794.

49754057760 is a `hidden beast` number, since 4 + 9 + 7 + 5 + 4 + 0 + 577 + 60 = 666.

It is a super-3 number, since 3×49754057760³ (a number of 33 digits) contains 333 as substring.

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 = 49754057697 and 49754057706.

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, 97748386 + ... + 97748894.

It is an arithmetic number, because the mean of its divisors is an integer number (264590550).

Almost surely, 2^49754057760 is an apocalyptic number.

49754057760 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 49754057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101602771200).

49754057760 is an abundant number, since it is smaller than the sum of its proper divisors (153451484640).

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

49754057760 is a wasteful number, since it uses less digits than its factorization.

49754057760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 49754057760 in words is "forty-nine billion, seven hundred fifty-four million, fifty-seven thousand, seven hundred sixty".