53414151827820 has 288 divisors, whose sum is σ = 176508852387840. Its totient is φ = 12032585510400.

The previous prime is 53414151827819. The next prime is 53414151827821. The reversal of 53414151827820 is 2872815141435.

It is an interprime number because it is at equal distance from previous prime (53414151827819) and next prime (53414151827821).

It is not an unprimeable number, because it can be changed into a prime (53414151827821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55906686 + ... + 56854074.

It is an arithmetic number, because the mean of its divisors is an integer number (612877959680).

Almost surely, 2^{53414151827820} 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 53414151827820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88254426193920).

53414151827820 is an abundant number, since it is smaller than the sum of its proper divisors (123094700560020).

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

53414151827820 is a wasteful number, since it uses less digits than its factorization.

53414151827820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947693 (or 947684 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 53414151827820 in words is "fifty-three trillion, four hundred fourteen billion, one hundred fifty-one million, eight hundred twenty-seven thousand, eight hundred twenty".