551858254295040 has 4160 divisors, whose sum is σ = 2585857758105600. Its totient is φ = 111525785763840.

The previous prime is 551858254295021. The next prime is 551858254295099. The reversal of 551858254295040 is 40592452858155.

551858254295040 is a `hidden beast` number, since 5 + 5 + 1 + 8 + 5 + 82 + 5 + 42 + 9 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 231581305689 + ... + 231581308071.

Almost surely, 2^{551858254295040} 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 551858254295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292928879052800).

551858254295040 is an abundant number, since it is smaller than the sum of its proper divisors (2033999503810560).

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

551858254295040 is a wasteful number, since it uses less digits than its factorization.

551858254295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 115200000, while the sum is 63.

The spelling of 551858254295040 in words is "five hundred fifty-one trillion, eight hundred fifty-eight billion, two hundred fifty-four million, two hundred ninety-five thousand, forty".