53038602497400 has 576 divisors, whose sum is σ = 191398560422400. Its totient is φ = 12105335623680.

The previous prime is 53038602497393. The next prime is 53038602497407. The reversal of 53038602497400 is 479420683035.

It is an interprime number because it is at equal distance from previous prime (53038602497393) and next prime (53038602497407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53038602497407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90257332 + ... + 90843068.

It is an arithmetic number, because the mean of its divisors is an integer number (332289167400).

Almost surely, 2^{53038602497400} is an apocalyptic number.

53038602497400 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 53038602497400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95699280211200).

53038602497400 is an abundant number, since it is smaller than the sum of its proper divisors (138359957925000).

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

53038602497400 is a wasteful number, since it uses less digits than its factorization.

53038602497400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585848 (or 585826 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 53038602497400 in words is "fifty-three trillion, thirty-eight billion, six hundred two million, four hundred ninety-seven thousand, four hundred".