54698918077440 has 4224 divisors, whose sum is σ = 262510948224000. Its totient is φ = 10666094100480.

The previous prime is 54698918077417. The next prime is 54698918077477. The reversal of 54698918077440 is 4477081989645.

54698918077440 is a `hidden beast` number, since 5 + 4 + 6 + 98 + 91 + 8 + 0 + 7 + 7 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 91317058261 + ... + 91317058859.

Almost surely, 2^{54698918077440} 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 54698918077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131255474112000).

54698918077440 is an abundant number, since it is smaller than the sum of its proper divisors (207812030146560).

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

54698918077440 is a wasteful number, since it uses less digits than its factorization.

54698918077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 54698918077440 in words is "fifty-four trillion, six hundred ninety-eight billion, nine hundred eighteen million, seventy-seven thousand, four hundred forty".