53167104000000 has 1190 divisors, whose sum is σ = 198861857309082. Its totient is φ = 14155776000000.

The previous prime is 53167103999987. The next prime is 53167104000013. The reversal of 53167104000000 is 40176135.

It is an interprime number because it is at equal distance from previous prime (53167103999987) and next prime (53167104000013).

It can be written as a sum of positive squares in 7 ways, for example, as 51046795247616 + 2120308752384 = 7144704^2 + 1456128^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 82943999680 + ... + 82944000320.

Almost surely, 2^{53167104000000} is an apocalyptic number.

53167104000000 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 53167104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99430928654541).

53167104000000 is an abundant number, since it is smaller than the sum of its proper divisors (145694753309082).

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

53167104000000 is an frugal number, since it uses more digits than its factorization.

53167104000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 53167104000000 its reverse (40176135), we get a palindrome (53167144176135).

The spelling of 53167104000000 in words is "fifty-three trillion, one hundred sixty-seven billion, one hundred four million", and thus it is an aban number.