55706691249216 has 1344 divisors, whose sum is σ = 199643512320000. Its totient is φ = 15168469929984.

The previous prime is 55706691249203. The next prime is 55706691249229. The reversal of 55706691249216 is 61294219660755.

55706691249216 is a `hidden beast` number, since 5 + 5 + 70 + 6 + 69 + 1 + 2 + 492 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (55706691249203) and next prime (55706691249229).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×55706691249216² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77478012505 + ... + 77478013223.

It is an arithmetic number, because the mean of its divisors is an integer number (148544280000).

Almost surely, 2^{55706691249216} is an apocalyptic number.

55706691249216 is a gapful number since it is divisible by the number (56) 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 55706691249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99821756160000).

55706691249216 is an abundant number, since it is smaller than the sum of its proper divisors (143936821070784).

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

55706691249216 is a wasteful number, since it uses less digits than its factorization.

55706691249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 55706691249216 in words is "fifty-five trillion, seven hundred six billion, six hundred ninety-one million, two hundred forty-nine thousand, two hundred sixteen".