49205213280 has 144 divisors (see below), whose sum is σ = 169644331584. Its totient is φ = 12986081280.

The previous prime is 49205213261. The next prime is 49205213327. The reversal of 49205213280 is 8231250294.

It is a happy number.

49205213280 is a `hidden beast` number, since 4 + 9 + 20 + 521 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36456 + ... + 315815.

It is an arithmetic number, because the mean of its divisors is an integer number (1178085636).

Almost surely, 2^49205213280 is an apocalyptic number.

49205213280 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 49205213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84822165792).

49205213280 is an abundant number, since it is smaller than the sum of its proper divisors (120439118304).

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

49205213280 is a wasteful number, since it uses less digits than its factorization.

49205213280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352389 (or 352378 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 49205213280 in words is "forty-nine billion, two hundred five million, two hundred thirteen thousand, two hundred eighty".