55429380864 has 1008 divisors, whose sum is σ = 204178136064. Its totient is φ = 14780620800.

The previous prime is 55429380859. The next prime is 55429380899. The reversal of 55429380864 is 46808392455.

55429380864 is a `hidden beast` number, since 5 + 542 + 9 + 38 + 0 + 8 + 64 = 666.

55429380864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55429380864.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 827304159 + ... + 827304225.

Almost surely, 2^55429380864 is an apocalyptic number.

55429380864 is a gapful number since it is divisible by the number (54) 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 55429380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102089068032).

55429380864 is an abundant number, since it is smaller than the sum of its proper divisors (148748755200).

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

55429380864 is a wasteful number, since it uses less digits than its factorization.

55429380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 55429380864 in words is "fifty-five billion, four hundred twenty-nine million, three hundred eighty thousand, eight hundred sixty-four".