551520256000 has 960 divisors, whose sum is σ = 1743032438784. Its totient is φ = 169869312000.

The previous prime is 551520255997. The next prime is 551520256009. The reversal of 551520256000 is 652025155.

It is a super-3 number, since 3×551520256000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551520256009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7555071964 + ... + 7555072036.

Almost surely, 2^551520256000 is an apocalyptic number.

551520256000 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 551520256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871516219392).

551520256000 is an abundant number, since it is smaller than the sum of its proper divisors (1191512182784).

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

551520256000 is an equidigital number, since it uses as much as digits as its factorization.

551520256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 551520256000 in words is "five hundred fifty-one billion, five hundred twenty million, two hundred fifty-six thousand".