552531403831680 has 3072 divisors, whose sum is σ = 2521477585612800. Its totient is φ = 111862318104576.

The previous prime is 552531403831669. The next prime is 552531403831727. The reversal of 552531403831680 is 86138304135255.

552531403831680 is a `hidden beast` number, since 5 + 5 + 2 + 5 + 314 + 0 + 3 + 8 + 316 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55214485237 + ... + 55214495243.

It is an arithmetic number, because the mean of its divisors is an integer number (820793484900).

Almost surely, 2^{552531403831680} 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 552531403831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260738792806400).

552531403831680 is an abundant number, since it is smaller than the sum of its proper divisors (1968946181781120).

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

552531403831680 is a wasteful number, since it uses less digits than its factorization.

552531403831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10178 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 552531403831680 in words is "five hundred fifty-two trillion, five hundred thirty-one billion, four hundred three million, eight hundred thirty-one thousand, six hundred eighty".