53537535680000 has 800 divisors, whose sum is σ = 143813340000000. Its totient is φ = 19859374080000.

The previous prime is 53537535679933. The next prime is 53537535680021. The reversal of 53537535680000 is 8653573535.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42864319376 + ... + 42864320624.

It is an arithmetic number, because the mean of its divisors is an integer number (179766675000).

Almost surely, 2^{53537535680000} is an apocalyptic number.

53537535680000 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 53537535680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71906670000000).

53537535680000 is an abundant number, since it is smaller than the sum of its proper divisors (90275804320000).

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

53537535680000 is a wasteful number, since it uses less digits than its factorization.

53537535680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 50.

The spelling of 53537535680000 in words is "fifty-three trillion, five hundred thirty-seven billion, five hundred thirty-five million, six hundred eighty thousand".