53828900640 has 288 divisors, whose sum is σ = 196510270320. Its totient is φ = 13370130432.

The previous prime is 53828900639. The next prime is 53828900663. The reversal of 53828900640 is 4600982835.

53828900640 is a `hidden beast` number, since 538 + 28 + 90 + 0 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44559832464 + 9269068176 = 211092^2 + 96276^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×53828900640² (a number of 22 digits) contains 22 as substring.

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

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, 2363226 + ... + 2385894.

Almost surely, 2^53828900640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53828900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98255135160).

53828900640 is an abundant number, since it is smaller than the sum of its proper divisors (142681369680).

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

53828900640 is a wasteful number, since it uses less digits than its factorization.

53828900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22804 (or 22793 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 53828900640 in words is "fifty-three billion, eight hundred twenty-eight million, nine hundred thousand, six hundred forty".