98758037197152 has 768 divisors, whose sum is σ = 314222262681600. Its totient is φ = 30085095997440.

The previous prime is 98758037197123. The next prime is 98758037197153. The reversal of 98758037197152 is 25179173085789.

98758037197152 is a `hidden beast` number, since 9 + 8 + 7 + 580 + 37 + 1 + 9 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×98758037197152² (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 (98758037197153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27905631799 + ... + 27905635337.

It is an arithmetic number, because the mean of its divisors is an integer number (409143571200).

Almost surely, 2^{98758037197152} is an apocalyptic number.

98758037197152 is a gapful number since it is divisible by the number (92) 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 98758037197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157111131340800).

98758037197152 is an abundant number, since it is smaller than the sum of its proper divisors (215464225484448).

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

98758037197152 is a wasteful number, since it uses less digits than its factorization.

98758037197152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 98758037197152 in words is "ninety-eight trillion, seven hundred fifty-eight billion, thirty-seven million, one hundred ninety-seven thousand, one hundred fifty-two".