55567693440 has 1536 divisors, whose sum is σ = 247815936000. Its totient is φ = 11705057280.

The previous prime is 55567693429. The next prime is 55567693457. The reversal of 55567693440 is 4439676555.

55567693440 is a `hidden beast` number, since 5 + 5 + 567 + 6 + 9 + 34 + 40 = 666.

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

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, 761201244 + ... + 761201316.

It is an arithmetic number, because the mean of its divisors is an integer number (161338500).

Almost surely, 2^55567693440 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 55567693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123907968000).

55567693440 is an abundant number, since it is smaller than the sum of its proper divisors (192248242560).

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

55567693440 is a wasteful number, since it uses less digits than its factorization.

55567693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 55567693440 in words is "fifty-five billion, five hundred sixty-seven million, six hundred ninety-three thousand, four hundred forty".