53019600 has 240 divisors, whose sum is σ = 189309312. Its totient is φ = 12615680.

The previous prime is 53019599. The next prime is 53019649. The reversal of 53019600 is 691035.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×53019600² = 5622155968320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469144 + ... + 469256.

Almost surely, 2^53019600 is an apocalyptic number.

53019600 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 53019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94654656).

53019600 is an abundant number, since it is smaller than the sum of its proper divisors (136289712).

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

53019600 is a wasteful number, since it uses less digits than its factorization.

53019600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 53019600 is about 7281.4558983764. The cubic root of 53019600 is about 375.6748736152.

The spelling of 53019600 in words is "fifty-three million, nineteen thousand, six hundred".