53166151256400 has 960 divisors, whose sum is σ = 233187603927040. Its totient is φ = 11203673241600.

The previous prime is 53166151256381. The next prime is 53166151256419. The reversal of 53166151256400 is 465215166135.

53166151256400 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 615 + 1 + 25 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53166151256381) and next prime (53166151256419).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 808811535 + ... + 808877265.

Almost surely, 2^{53166151256400} is an apocalyptic number.

53166151256400 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 53166151256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116593801963520).

53166151256400 is an abundant number, since it is smaller than the sum of its proper divisors (180021452670640).

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

53166151256400 is a wasteful number, since it uses less digits than its factorization.

53166151256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66601 (or 66584 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 53166151256400 in words is "fifty-three trillion, one hundred sixty-six billion, one hundred fifty-one million, two hundred fifty-six thousand, four hundred".