53155654070400 has 4608 divisors, whose sum is σ = 241463036805120. Its totient is φ = 10878536908800.

The previous prime is 53155654070377. The next prime is 53155654070401. The reversal of 53155654070400 is 407045655135.

53155654070400 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 565 + 40 + 7 + 0 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53155654070401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 728159644764 + ... + 728159644836.

It is an arithmetic number, because the mean of its divisors is an integer number (52400832640).

Almost surely, 2^{53155654070400} is an apocalyptic number.

53155654070400 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 53155654070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120731518402560).

53155654070400 is an abundant number, since it is smaller than the sum of its proper divisors (188307382734720).

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

53155654070400 is a wasteful number, since it uses less digits than its factorization.

53155654070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 53155654070400 in words is "fifty-three trillion, one hundred fifty-five billion, six hundred fifty-four million, seventy thousand, four hundred".