53400625000632 has 384 divisors, whose sum is σ = 185957928898560. Its totient is φ = 13465155502080.

The previous prime is 53400625000603. The next prime is 53400625000673. The reversal of 53400625000632 is 23600052600435.

53400625000632 is a `hidden beast` number, since 5 + 34 + 0 + 0 + 62 + 500 + 0 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15274488 + ... + 18442104.

It is an arithmetic number, because the mean of its divisors is an integer number (484265439840).

Almost surely, 2^{53400625000632} is an apocalyptic number.

53400625000632 is a gapful number since it is divisible by the number (52) 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 53400625000632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92978964449280).

53400625000632 is an abundant number, since it is smaller than the sum of its proper divisors (132557303897928).

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

53400625000632 is a wasteful number, since it uses less digits than its factorization.

53400625000632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167763 (or 3167756 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 53400625000632 in words is "fifty-three trillion, four hundred billion, six hundred twenty-five million, six hundred thirty-two", and thus it is an aban number.