551616000 has 480 divisors, whose sum is σ = 2102731488. Its totient is φ = 127795200.

The previous prime is 551615993. The next prime is 551616007. The reversal of 551616000 is 616155.

It is an interprime number because it is at equal distance from previous prime (551615993) and next prime (551616007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×551616000² = 608560422912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551616007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32447992 + ... + 32448008.

Almost surely, 2^551616000 is an apocalyptic number.

551616000 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 551616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051365744).

551616000 is an abundant number, since it is smaller than the sum of its proper divisors (1551115488).

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

551616000 is a wasteful number, since it uses less digits than its factorization.

551616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 551616000 is about 23486.5067645233. The cubic root of 551616000 is about 820.1229242646.

The spelling of 551616000 in words is "five hundred fifty-one million, six hundred sixteen thousand".