551865177864 has 1280 divisors, whose sum is σ = 2200341749760. Its totient is φ = 124540416000.

The previous prime is 551865177817. The next prime is 551865177881. The reversal of 551865177864 is 468771568155.

It is a happy number.

551865177864 is a `hidden beast` number, since 5 + 51 + 8 + 6 + 517 + 7 + 8 + 64 = 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, 1059241924 + ... + 1059242444.

It is an arithmetic number, because the mean of its divisors is an integer number (1719016992).

Almost surely, 2^551865177864 is an apocalyptic number.

551865177864 is a gapful number since it is divisible by the number (54) 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 551865177864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100170874880).

551865177864 is an abundant number, since it is smaller than the sum of its proper divisors (1648476571896).

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

551865177864 is a wasteful number, since it uses less digits than its factorization.

551865177864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 63.

The spelling of 551865177864 in words is "five hundred fifty-one billion, eight hundred sixty-five million, one hundred seventy-seven thousand, eight hundred sixty-four".