554977878000 has 1280 divisors, whose sum is σ = 2358742364160. Its totient is φ = 108988416000.

The previous prime is 554977877969. The next prime is 554977878023. The reversal of 554977878000 is 878779455.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 632813562 + ... + 632814438.

It is an arithmetic number, because the mean of its divisors is an integer number (1842767472).

Almost surely, 2^554977878000 is an apocalyptic number.

554977878000 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 554977878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179371182080).

554977878000 is an abundant number, since it is smaller than the sum of its proper divisors (1803764486160).

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

554977878000 is a wasteful number, since it uses less digits than its factorization.

554977878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 60.

The spelling of 554977878000 in words is "five hundred fifty-four billion, nine hundred seventy-seven million, eight hundred seventy-eight thousand".