53672385908736 has 1755 divisors, whose sum is σ = 197473158941751. Its totient is φ = 14482555895808.

The previous prime is 53672385908707. The next prime is 53672385908761. The reversal of 53672385908736 is 63780958327635.

The square root of 53672385908736 is 7326144.

It is a perfect power (a square), and thus also a powerful number.

53672385908736 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 23 + 8 + 590 + 8 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×53672385908736² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 679397289945 + ... + 679397290023.

Almost surely, 2^{53672385908736} is an apocalyptic number.

53672385908736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

53672385908736 is the 7326144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53672385908736

53672385908736 is an abundant number, since it is smaller than the sum of its proper divisors (143800773033015).

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

53672385908736 is an frugal number, since it uses more digits than its factorization.

53672385908736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 53672385908736 in words is "fifty-three trillion, six hundred seventy-two billion, three hundred eighty-five million, nine hundred eight thousand, seven hundred thirty-six".