98057376803232 has 1536 divisors, whose sum is σ = 370773365760000. Its totient is φ = 24989321871360.

The previous prime is 98057376803213. The next prime is 98057376803233. The reversal of 98057376803232 is 23230867375089.

98057376803232 is a `hidden beast` number, since 9 + 80 + 57 + 376 + 80 + 32 + 32 = 666.

It is a super-2 number, since 2×98057376803232² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 98057376803232.

It is not an unprimeable number, because it can be changed into a prime (98057376803233) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39747618063 + ... + 39747620529.

It is an arithmetic number, because the mean of its divisors is an integer number (241388910000).

Almost surely, 2^{98057376803232} 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 98057376803232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185386682880000).

98057376803232 is an abundant number, since it is smaller than the sum of its proper divisors (272715988956768).

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

98057376803232 is a wasteful number, since it uses less digits than its factorization.

98057376803232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 98057376803232 in words is "ninety-eight trillion, fifty-seven billion, three hundred seventy-six million, eight hundred three thousand, two hundred thirty-two".