55101085978764 has 192 divisors, whose sum is σ = 156715955988480. Its totient is φ = 14709001420800.

The previous prime is 55101085978723. The next prime is 55101085978859. The reversal of 55101085978764 is 46787958010155.

It is a super-2 number, since 2×55101085978764² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55101085978695 and 55101085978704.

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 63 ways as a sum of consecutive naturals, for example, 320984284 + ... + 321155900.

It is an arithmetic number, because the mean of its divisors is an integer number (816228937440).

Almost surely, 2^{55101085978764} 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 55101085978764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78357977994240).

55101085978764 is an abundant number, since it is smaller than the sum of its proper divisors (101614870009716).

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

55101085978764 is a wasteful number, since it uses less digits than its factorization.

55101085978764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173288 (or 173286 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 66.

The spelling of 55101085978764 in words is "fifty-five trillion, one hundred one billion, eighty-five million, nine hundred seventy-eight thousand, seven hundred sixty-four".