1378005552 has 480 divisors, whose sum is σ = 5249187840. Its totient is φ = 326592000.

The previous prime is 1378005539. The next prime is 1378005569. The reversal of 1378005552 is 2555008731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6530727 + ... + 6530937.

It is an arithmetic number, because the mean of its divisors is an integer number (10935808).

Almost surely, 2^1378005552 is an apocalyptic number.

1378005552 is a gapful number since it is divisible by the number (12) 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 1378005552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624593920).

1378005552 is an abundant number, since it is smaller than the sum of its proper divisors (3871182288).

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

1378005552 is a wasteful number, since it uses less digits than its factorization.

1378005552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1378005552 is about 37121.4971680831. The cubic root of 1378005552 is about 1112.7996723656.

The spelling of 1378005552 in words is "one billion, three hundred seventy-eight million, five thousand, five hundred fifty-two".