55706517504000 has 2352 divisors, whose sum is σ = 231712502714784. Its totient is φ = 13249806336000.

The previous prime is 55706517503993. The next prime is 55706517504007. The reversal of 55706517504000 is 40571560755.

55706517504000 is a `hidden beast` number, since 5 + 5 + 70 + 6 + 5 + 175 + 0 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55706517503993) and next prime (55706517504007).

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

It is not an unprimeable number, because it can be changed into a prime (55706517504007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1051066367974 + ... + 1051066368026.

It is an arithmetic number, because the mean of its divisors is an integer number (98517220542).

Almost surely, 2^{55706517504000} is an apocalyptic number.

55706517504000 is a gapful number since it is divisible by the number (50) 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 55706517504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115856251357392).

55706517504000 is an abundant number, since it is smaller than the sum of its proper divisors (176005985210784).

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

55706517504000 is an frugal number, since it uses more digits than its factorization.

55706517504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 55706517504000 in words is "fifty-five trillion, seven hundred six billion, five hundred seventeen million, five hundred four thousand".