49022565120 has 576 divisors, whose sum is σ = 184504521600. Its totient is φ = 12303728640.

The previous prime is 49022565107. The next prime is 49022565131. The reversal of 49022565120 is 2156522094.

49022565120 is a `hidden beast` number, since 4 + 90 + 2 + 2 + 56 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×49022565120² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41091244 + ... + 41092436.

It is an arithmetic number, because the mean of its divisors is an integer number (320320350).

Almost surely, 2^49022565120 is an apocalyptic number.

49022565120 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 49022565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252260800).

49022565120 is an abundant number, since it is smaller than the sum of its proper divisors (135481956480).

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

49022565120 is a wasteful number, since it uses less digits than its factorization.

49022565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 49022565120 in words is "forty-nine billion, twenty-two million, five hundred sixty-five thousand, one hundred twenty".