53758080000 has 1100 divisors, whose sum is σ = 215882998452. Its totient is φ = 13271040000.

The previous prime is 53758079987. The next prime is 53758080011. The reversal of 53758080000 is 8085735.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 47530976256 + 6227103744 = 218016^2 + 78912^2 .

It is a super-3 number, since 3×53758080000³ (a number of 33 digits) contains 333 as substring.

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 99 ways as a sum of consecutive naturals, for example, 881279970 + ... + 881280030.

Almost surely, 2^53758080000 is an apocalyptic number.

53758080000 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 53758080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107941499226).

53758080000 is an abundant number, since it is smaller than the sum of its proper divisors (162124918452).

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

53758080000 is an equidigital number, since it uses as much as digits as its factorization.

53758080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 53758080000 in words is "fifty-three billion, seven hundred fifty-eight million, eighty thousand".