49532179344960 has 896 divisors, whose sum is σ = 174392858142720. Its totient is φ = 11836408725504.

The previous prime is 49532179344953. The next prime is 49532179344971. The reversal of 49532179344960 is 6944397123594.

It is a super-2 number, since 2×49532179344960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49532179344891 and 49532179344900.

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, 42959391744 + ... + 42959392896.

It is an arithmetic number, because the mean of its divisors is an integer number (194634886320).

Almost surely, 2^{49532179344960} is an apocalyptic number.

49532179344960 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 49532179344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87196429071360).

49532179344960 is an abundant number, since it is smaller than the sum of its proper divisors (124860678797760).

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

49532179344960 is a wasteful number, since it uses less digits than its factorization.

49532179344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 66.

The spelling of 49532179344960 in words is "forty-nine trillion, five hundred thirty-two billion, one hundred seventy-nine million, three hundred forty-four thousand, nine hundred sixty".