49131855360 has 720 divisors, whose sum is σ = 201574964448. Its totient is φ = 10833592320.

The previous prime is 49131855359. The next prime is 49131855389. The reversal of 49131855360 is 6355813194.

49131855360 is a `hidden beast` number, since 4 + 9 + 1 + 31 + 8 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×49131855360² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154989922 + ... + 154990238.

Almost surely, 2^49131855360 is an apocalyptic number.

49131855360 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 49131855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100787482224).

49131855360 is an abundant number, since it is smaller than the sum of its proper divisors (152443109088).

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

49131855360 is a wasteful number, since it uses less digits than its factorization.

49131855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 49131855360 in words is "forty-nine billion, one hundred thirty-one million, eight hundred fifty-five thousand, three hundred sixty".