552463278494400 has 5040 divisors, whose sum is σ = 2740477824860160. Its totient is φ = 107847471513600.

The previous prime is 552463278494321. The next prime is 552463278494453. The reversal of 552463278494400 is 4494872364255.

552463278494400 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 6 + 32 + 78 + 494 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 719 ways as a sum of consecutive naturals, for example, 67447594305 + ... + 67447602495.

Almost surely, 2^{552463278494400} is an apocalyptic number.

552463278494400 is a gapful number since it is divisible by the number (50) 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 552463278494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370238912430080).

552463278494400 is an abundant number, since it is smaller than the sum of its proper divisors (2188014546365760).

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

552463278494400 is a wasteful number, since it uses less digits than its factorization.

552463278494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 552463278494400 in words is "five hundred fifty-two trillion, four hundred sixty-three billion, two hundred seventy-eight million, four hundred ninety-four thousand, four hundred".