55077492288 has 448 divisors, whose sum is σ = 188275691520. Its totient is φ = 13818470400.

The previous prime is 55077492287. The next prime is 55077492289. The reversal of 55077492288 is 88229477055.

It is an interprime number because it is at equal distance from previous prime (55077492287) and next prime (55077492289).

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (55077492287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35974083 + ... + 35975613.

It is an arithmetic number, because the mean of its divisors is an integer number (420258240).

Almost surely, 2^55077492288 is an apocalyptic number.

55077492288 is a gapful number since it is divisible by the number (58) 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 55077492288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94137845760).

55077492288 is an abundant number, since it is smaller than the sum of its proper divisors (133198199232).

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

55077492288 is a wasteful number, since it uses less digits than its factorization.

55077492288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 55077492288 in words is "fifty-five billion, seventy-seven million, four hundred ninety-two thousand, two hundred eighty-eight".