53675274470400 has 792 divisors, whose sum is σ = 209837589159744. Its totient is φ = 13000797388800.

The previous prime is 53675274470399. The next prime is 53675274470401. The reversal of 53675274470400 is 407447257635.

53675274470400 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 527 + 4 + 4 + 70 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53675274470399) and next prime (53675274470401).

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (53675274470401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3099562542 + ... + 3099579858.

Almost surely, 2^{53675274470400} is an apocalyptic number.

53675274470400 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 53675274470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104918794579872).

53675274470400 is an abundant number, since it is smaller than the sum of its proper divisors (156162314689344).

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

53675274470400 is a wasteful number, since it uses less digits than its factorization.

53675274470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18587 (or 18561 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 53675274470400 in words is "fifty-three trillion, six hundred seventy-five billion, two hundred seventy-four million, four hundred seventy thousand, four hundred".