53883662400 has 840 divisors, whose sum is σ = 215707316616. Its totient is φ = 13138329600.

The previous prime is 53883662369. The next prime is 53883662407. The reversal of 53883662400 is 426638835.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 254016 + 53883408384 = 504^2 + 232128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53883662407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81518070 + ... + 81518730.

Almost surely, 2^53883662400 is an apocalyptic number.

53883662400 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 53883662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107853658308).

53883662400 is an abundant number, since it is smaller than the sum of its proper divisors (161823654216).

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

53883662400 is a wasteful number, since it uses less digits than its factorization.

53883662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 53883662400 in words is "fifty-three billion, eight hundred eighty-three million, six hundred sixty-two thousand, four hundred".