551753779104 has 192 divisors, whose sum is σ = 1772965272960. Its totient is φ = 165542400000.

The previous prime is 551753779099. The next prime is 551753779133. The reversal of 551753779104 is 401977357155.

551753779104 is a `hidden beast` number, since 5 + 5 + 17 + 537 + 7 + 91 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672504 + ... + 1247304.

It is an arithmetic number, because the mean of its divisors is an integer number (9234194130).

Almost surely, 2^551753779104 is an apocalyptic number.

551753779104 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 551753779104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886482636480).

551753779104 is an abundant number, since it is smaller than the sum of its proper divisors (1221211493856).

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

551753779104 is a wasteful number, since it uses less digits than its factorization.

551753779104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574932 (or 574918 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

The spelling of 551753779104 in words is "five hundred fifty-one billion, seven hundred fifty-three million, seven hundred seventy-nine thousand, one hundred four".