98519546391552 has 2464 divisors, whose sum is σ = 359880946360320. Its totient is φ = 26705088184320.

The previous prime is 98519546391551. The next prime is 98519546391557. The reversal of 98519546391552 is 25519364591589.

98519546391552 is a `hidden beast` number, since 9 + 8 + 5 + 1 + 9 + 5 + 4 + 63 + 9 + 1 + 552 = 666.

It is a super-2 number, since 2×98519546391552² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98519546391551) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 775744459713 + ... + 775744459839.

It is an arithmetic number, because the mean of its divisors is an integer number (146055578880).

Almost surely, 2^{98519546391552} 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 98519546391552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179940473180160).

98519546391552 is an abundant number, since it is smaller than the sum of its proper divisors (261361399968768).

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

98519546391552 is a wasteful number, since it uses less digits than its factorization.

98519546391552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 199 counting only the distinct ones).

The product of its digits is 524880000, while the sum is 72.

The spelling of 98519546391552 in words is "ninety-eight trillion, five hundred nineteen billion, five hundred forty-six million, three hundred ninety-one thousand, five hundred fifty-two".