49781329920 has 624 divisors, whose sum is σ = 204651807360. Its totient is φ = 11370627072.

The previous prime is 49781329903. The next prime is 49781329937. The reversal of 49781329920 is 2992318794.

It is an interprime number because it is at equal distance from previous prime (49781329903) and next prime (49781329937).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34835766 + ... + 34837194.

It is an arithmetic number, because the mean of its divisors is an integer number (327967640).

Almost surely, 2^49781329920 is an apocalyptic number.

49781329920 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 49781329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102325903680).

49781329920 is an abundant number, since it is smaller than the sum of its proper divisors (154870477440).

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

49781329920 is an equidigital number, since it uses as much as digits as its factorization.

49781329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 49781329920 in words is "forty-nine billion, seven hundred eighty-one million, three hundred twenty-nine thousand, nine hundred twenty".