253761097590 has 768 divisors, whose sum is σ = 933765719040. Its totient is φ = 48202076160.

The previous prime is 253761097589. The next prime is 253761097607. The reversal of 253761097590 is 95790167352.

253761097590 is a `hidden beast` number, since 2 + 5 + 37 + 6 + 10 + 9 + 7 + 590 = 666.

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 383 ways as a sum of consecutive naturals, for example, 213782977 + ... + 213784163.

It is an arithmetic number, because the mean of its divisors is an integer number (1215840780).

Almost surely, 2^253761097590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253761097590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466882859520).

253761097590 is an abundant number, since it is smaller than the sum of its proper divisors (680004621450).

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

253761097590 is a wasteful number, since it uses less digits than its factorization.

253761097590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 253761097590 in words is "two hundred fifty-three billion, seven hundred sixty-one million, ninety-seven thousand, five hundred ninety".