53687547144 has 768 divisors, whose sum is σ = 202954752000. Its totient is φ = 12874256640.

The previous prime is 53687547041. The next prime is 53687547157. The reversal of 53687547144 is 44174578635.

53687547144 is a `hidden beast` number, since 5 + 3 + 6 + 87 + 547 + 14 + 4 = 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, 122294877 + ... + 122295315.

It is an arithmetic number, because the mean of its divisors is an integer number (264264000).

Almost surely, 2^53687547144 is an apocalyptic number.

53687547144 is a gapful number since it is divisible by the number (54) 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 53687547144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101477376000).

53687547144 is an abundant number, since it is smaller than the sum of its proper divisors (149267204856).

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

53687547144 is a wasteful number, since it uses less digits than its factorization.

53687547144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 53687547144 in words is "fifty-three billion, six hundred eighty-seven million, five hundred forty-seven thousand, one hundred forty-four".