49587987456 has 660 divisors, whose sum is σ = 175311990672. Its totient is φ = 13997297664.

The previous prime is 49587987451. The next prime is 49587987529. The reversal of 49587987456 is 65478978594.

49587987456 is a `hidden beast` number, since 4 + 9 + 5 + 87 + 98 + 7 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (49587987451) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 597445591 + ... + 597445673.

Almost surely, 2^49587987456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49587987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87655995336).

49587987456 is an abundant number, since it is smaller than the sum of its proper divisors (125724003216).

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

49587987456 is an frugal number, since it uses more digits than its factorization.

49587987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 95 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 49587987456 in words is "forty-nine billion, five hundred eighty-seven million, nine hundred eighty-seven thousand, four hundred fifty-six".