551829097151640 has 768 divisors, whose sum is σ = 2364426462182400. Its totient is φ = 111999132241920.

The previous prime is 551829097151623. The next prime is 551829097151653. The reversal of 551829097151640 is 46151790928155.

It is a happy number.

551829097151640 is a `hidden beast` number, since 5 + 5 + 1 + 8 + 2 + 9 + 0 + 9 + 71 + 516 + 40 = 666.

It is a super-2 number, since 2×551829097151640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32320144 + ... + 46349216.

It is an arithmetic number, because the mean of its divisors is an integer number (3078680289300).

Almost surely, 2^{551829097151640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551829097151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182213231091200).

551829097151640 is an abundant number, since it is smaller than the sum of its proper divisors (1812597365030760).

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

551829097151640 is a wasteful number, since it uses less digits than its factorization.

551829097151640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14029165 (or 14029144 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 551829097151640 in words is "five hundred fifty-one trillion, eight hundred twenty-nine billion, ninety-seven million, one hundred fifty-one thousand, six hundred forty".