505078153398 has 320 divisors, whose sum is σ = 1442196467712. Its totient is φ = 128521416960.

The previous prime is 505078153397. The next prime is 505078153403. The reversal of 505078153398 is 893351870505.

505078153398 is a `hidden beast` number, since 5 + 0 + 507 + 8 + 15 + 33 + 98 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505078153397) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 170460265 + ... + 170463227.

Almost surely, 2^505078153398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505078153398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721098233856).

505078153398 is an abundant number, since it is smaller than the sum of its proper divisors (937118314314).

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

505078153398 is a wasteful number, since it uses less digits than its factorization.

505078153398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 505078153398 in words is "five hundred five billion, seventy-eight million, one hundred fifty-three thousand, three hundred ninety-eight".