55654179840 has 880 divisors, whose sum is σ = 240157315200. Its totient is φ = 12039487488.

The previous prime is 55654179839. The next prime is 55654179869. The reversal of 55654179840 is 4897145655.

It is a happy number.

55654179840 is a `hidden beast` number, since 5 + 5 + 6 + 541 + 7 + 98 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55157256 + ... + 55158264.

It is an arithmetic number, because the mean of its divisors is an integer number (272906040).

Almost surely, 2^55654179840 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 55654179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120078657600).

55654179840 is an abundant number, since it is smaller than the sum of its proper divisors (184503135360).

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

55654179840 is a wasteful number, since it uses less digits than its factorization.

55654179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 55654179840 in words is "fifty-five billion, six hundred fifty-four million, one hundred seventy-nine thousand, eight hundred forty".