49638251520 has 1408 divisors, whose sum is σ = 216571944960. Its totient is φ = 10749542400.

The previous prime is 49638251473. The next prime is 49638251521. The reversal of 49638251520 is 2515283694.

49638251520 is a `hidden beast` number, since 4 + 9 + 638 + 2 + 5 + 1 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49638251521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1601233905 + ... + 1601233935.

Almost surely, 2^49638251520 is an apocalyptic number.

49638251520 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 49638251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108285972480).

49638251520 is an abundant number, since it is smaller than the sum of its proper divisors (166933693440).

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

49638251520 is a wasteful number, since it uses less digits than its factorization.

49638251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 49638251520 in words is "forty-nine billion, six hundred thirty-eight million, two hundred fifty-one thousand, five hundred twenty".