253987747200 has 960 divisors, whose sum is σ = 1029581982000. Its totient is φ = 61146316800.

The previous prime is 253987747183. The next prime is 253987747217. The reversal of 253987747200 is 2747789352.

253987747200 is a `hidden beast` number, since 2 + 5 + 398 + 7 + 7 + 47 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (253987747183) and next prime (253987747217).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×253987747200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 652924606 + ... + 652924994.

Almost surely, 2^253987747200 is an apocalyptic number.

253987747200 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 253987747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514790991000).

253987747200 is an abundant number, since it is smaller than the sum of its proper divisors (775594234800).

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

253987747200 is a wasteful number, since it uses less digits than its factorization.

253987747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 253987747200 in words is "two hundred fifty-three billion, nine hundred eighty-seven million, seven hundred forty-seven thousand, two hundred".