253016077440 has 512 divisors, whose sum is σ = 947552256000. Its totient is φ = 56220549120.

The previous prime is 253016077429. The next prime is 253016077451. The reversal of 253016077440 is 44770610352.

It is an interprime number because it is at equal distance from previous prime (253016077429) and next prime (253016077451).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197822721 + ... + 197823999.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688000).

Almost surely, 2^253016077440 is an apocalyptic number.

253016077440 is a gapful number since it is divisible by the number (20) 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 253016077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473776128000).

253016077440 is an abundant number, since it is smaller than the sum of its proper divisors (694536178560).

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

253016077440 is a wasteful number, since it uses less digits than its factorization.

253016077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

Adding to 253016077440 its reverse (44770610352), we get a palindrome (297786687792).

The spelling of 253016077440 in words is "two hundred fifty-three billion, sixteen million, seventy-seven thousand, four hundred forty".