55078122946560 has 1216 divisors, whose sum is σ = 208151166451200. Its totient is φ = 12429903790080.

The previous prime is 55078122946477. The next prime is 55078122946589. The reversal of 55078122946560 is 6564922187055.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 55078122946494 and 55078122946503.

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 63 ways as a sum of consecutive naturals, for example, 130826895150 + ... + 130826895570.

Almost surely, 2^{55078122946560} 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 55078122946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104075583225600).

55078122946560 is an abundant number, since it is smaller than the sum of its proper divisors (153073043504640).

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

55078122946560 is an frugal number, since it uses more digits than its factorization.

55078122946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 55078122946560 in words is "fifty-five trillion, seventy-eight billion, one hundred twenty-two million, nine hundred forty-six thousand, five hundred sixty".