53874849600 has 2352 divisors, whose sum is σ = 260253967680. Its totient is φ = 10749542400.

The previous prime is 53874849599. The next prime is 53874849601. The reversal of 53874849600 is 694847835.

53874849600 is a `hidden beast` number, since 538 + 7 + 4 + 8 + 49 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53874849599) and next prime (53874849601).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53874849601) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2835518391 + ... + 2835518409.

Almost surely, 2^53874849600 is an apocalyptic number.

53874849600 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 53874849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130126983840).

53874849600 is an abundant number, since it is smaller than the sum of its proper divisors (206379118080).

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

53874849600 is a wasteful number, since it uses less digits than its factorization.

53874849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 53874849600 in words is "fifty-three billion, eight hundred seventy-four million, eight hundred forty-nine thousand, six hundred".