55742615280 has 480 divisors, whose sum is σ = 213260636160. Its totient is φ = 12925440000.

The previous prime is 55742615233. The next prime is 55742615293. The reversal of 55742615280 is 8251624755.

55742615280 is a `hidden beast` number, since 5 + 5 + 7 + 4 + 2 + 615 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21850005 + ... + 21852555.

It is an arithmetic number, because the mean of its divisors is an integer number (444292992).

Almost surely, 2^55742615280 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 55742615280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106630318080).

55742615280 is an abundant number, since it is smaller than the sum of its proper divisors (157518020880).

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

55742615280 is a wasteful number, since it uses less digits than its factorization.

55742615280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55742615280 in words is "fifty-five billion, seven hundred forty-two million, six hundred fifteen thousand, two hundred eighty".