49611532320 has 768 divisors, whose sum is σ = 211728384000. Its totient is φ = 10597257216.

The previous prime is 49611532319. The next prime is 49611532363. The reversal of 49611532320 is 2323511694.

49611532320 is a `hidden beast` number, since 4 + 9 + 611 + 5 + 3 + 2 + 32 + 0 = 666.

It is a super-2 number, since 2×49611532320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 45389694 + ... + 45390786.

It is an arithmetic number, because the mean of its divisors is an integer number (275688000).

Almost surely, 2^49611532320 is an apocalyptic number.

49611532320 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 49611532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105864192000).

49611532320 is an abundant number, since it is smaller than the sum of its proper divisors (162116851680).

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

49611532320 is a wasteful number, since it uses less digits than its factorization.

49611532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 496 and 11532320, that added together give a square (11532816 = 3396²).

The spelling of 49611532320 in words is "forty-nine billion, six hundred eleven million, five hundred thirty-two thousand, three hundred twenty".