552378317400 has 2688 divisors, whose sum is σ = 2623032115200. Its totient is φ = 104808038400.

The previous prime is 552378317389. The next prime is 552378317401. The reversal of 552378317400 is 4713873255.

552378317400 is a `hidden beast` number, since 5 + 5 + 237 + 8 + 3 + 1 + 7 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552378317401) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 6992130561 + ... + 6992130639.

It is an arithmetic number, because the mean of its divisors is an integer number (975830400).

Almost surely, 2^552378317400 is an apocalyptic number.

552378317400 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 552378317400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311516057600).

552378317400 is an abundant number, since it is smaller than the sum of its proper divisors (2070653797800).

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

552378317400 is a wasteful number, since it uses less digits than its factorization.

552378317400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 552378317400 in words is "five hundred fifty-two billion, three hundred seventy-eight million, three hundred seventeen thousand, four hundred".