53034746661400 has 288 divisors, whose sum is σ = 148654465505280. Its totient is φ = 17526650400000.

The previous prime is 53034746661329. The next prime is 53034746661419. The reversal of 53034746661400 is 416664743035.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75906049 + ... + 76601551.

It is an arithmetic number, because the mean of its divisors is an integer number (516161338560).

Almost surely, 2^{53034746661400} is an apocalyptic number.

53034746661400 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 53034746661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74327232752640).

53034746661400 is an abundant number, since it is smaller than the sum of its proper divisors (95619718843880).

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

53034746661400 is a wasteful number, since it uses less digits than its factorization.

53034746661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695815 (or 695799 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 53034746661400 in words is "fifty-three trillion, thirty-four billion, seven hundred forty-six million, six hundred sixty-one thousand, four hundred".