49633781253120 has 2112 divisors, whose sum is σ = 200722080948480. Its totient is φ = 11686329188352.

The previous prime is 49633781253059. The next prime is 49633781253143. The reversal of 49633781253120 is 2135218733694.

49633781253120 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 3 + 7 + 81 + 2 + 531 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45410595294 + ... + 45410596386.

It is a 1-persistent number, because it is pandigital, but 2⋅49633781253120 = 99267562506240 is not.

Almost surely, 2^{49633781253120} is an apocalyptic number.

49633781253120 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 49633781253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100361040474240).

49633781253120 is an abundant number, since it is smaller than the sum of its proper divisors (151088299695360).

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

49633781253120 is a wasteful number, since it uses less digits than its factorization.

49633781253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 49633781253120 in words is "forty-nine trillion, six hundred thirty-three billion, seven hundred eighty-one million, two hundred fifty-three thousand, one hundred twenty".