551626790400 has 1080 divisors, whose sum is σ = 2327373940320. Its totient is φ = 124389457920.

The previous prime is 551626790381. The next prime is 551626790419. The reversal of 551626790400 is 4097626155.

551626790400 is a `hidden beast` number, since 5 + 516 + 2 + 6 + 7 + 90 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (551626790381) and next prime (551626790419).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 445938582 + ... + 445939818.

Almost surely, 2^551626790400 is an apocalyptic number.

551626790400 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 551626790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163686970160).

551626790400 is an abundant number, since it is smaller than the sum of its proper divisors (1775747149920).

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

551626790400 is a wasteful number, since it uses less digits than its factorization.

551626790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 551626790400 in words is "five hundred fifty-one billion, six hundred twenty-six million, seven hundred ninety thousand, four hundred".