53040355200000 has 5280 divisors, whose sum is σ = 249652517216256. Its totient is φ = 10948608000000.

The previous prime is 53040355199971. The next prime is 53040355200083. The reversal of 53040355200000 is 255304035.

53040355200000 is a `hidden beast` number, since 5 + 3 + 0 + 403 + 55 + 200 + 0 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 1293667199980 + ... + 1293667200020.

Almost surely, 2^{53040355200000} is an apocalyptic number.

53040355200000 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 53040355200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124826258608128).

53040355200000 is an abundant number, since it is smaller than the sum of its proper divisors (196612162016256).

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

53040355200000 is an equidigital number, since it uses as much as digits as its factorization.

53040355200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

It can be divided in two parts, 530403 and 55200000, that added together give a triangular number (55730403 = T₁₀₅₅₇).

The spelling of 53040355200000 in words is "fifty-three trillion, forty billion, three hundred fifty-five million, two hundred thousand".