97748598828960 has 576 divisors, whose sum is σ = 361881643818240. Its totient is φ = 23961774735360.

The previous prime is 97748598828953. The next prime is 97748598828961. The reversal of 97748598828960 is 6982889584779.

97748598828960 is a `hidden beast` number, since 9 + 7 + 7 + 4 + 8 + 598 + 8 + 2 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is not an unprimeable number, because it can be changed into a prime (97748598828961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90443446 + ... + 91517834.

It is an arithmetic number, because the mean of its divisors is an integer number (628266742740).

Almost surely, 2^{97748598828960} is an apocalyptic number.

97748598828960 is a gapful number since it is divisible by the number (90) 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 97748598828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180940821909120).

97748598828960 is an abundant number, since it is smaller than the sum of its proper divisors (264133044989280).

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

97748598828960 is a wasteful number, since it uses less digits than its factorization.

97748598828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074541 (or 1074530 counting only the distinct ones).

The product of its (nonzero) digits is 35115171840, while the sum is 90.

The spelling of 97748598828960 in words is "ninety-seven trillion, seven hundred forty-eight billion, five hundred ninety-eight million, eight hundred twenty-eight thousand, nine hundred sixty".