49151131918560 has 1920 divisors, whose sum is σ = 207415088584704. Its totient is φ = 10730014064640.

The previous prime is 49151131918529. The next prime is 49151131918631. The reversal of 49151131918560 is 6581913115194.

49151131918560 is a `hidden beast` number, since 4 + 9 + 1 + 51 + 1 + 3 + 19 + 18 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49151131918497 and 49151131918506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30209668467 + ... + 30209670093.

Almost surely, 2^{49151131918560} is an apocalyptic number.

49151131918560 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 49151131918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103707544292352).

49151131918560 is an abundant number, since it is smaller than the sum of its proper divisors (158263956666144).

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

49151131918560 is a wasteful number, since it uses less digits than its factorization.

49151131918560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 49151131918560 in words is "forty-nine trillion, one hundred fifty-one billion, one hundred thirty-one million, nine hundred eighteen thousand, five hundred sixty".