97149250800 has 480 divisors, whose sum is σ = 407933890560. Its totient is φ = 21488716800.

The previous prime is 97149250777. The next prime is 97149250801. The reversal of 97149250800 is 805294179.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97149250801) 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, 2322874 + ... + 2364326.

It is an arithmetic number, because the mean of its divisors is an integer number (849862272).

Almost surely, 2^97149250800 is an apocalyptic number.

97149250800 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 97149250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203966945280).

97149250800 is an abundant number, since it is smaller than the sum of its proper divisors (310784639760).

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

97149250800 is a wasteful number, since it uses less digits than its factorization.

97149250800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41518 (or 41501 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 97149250800 in words is "ninety-seven billion, one hundred forty-nine million, two hundred fifty thousand, eight hundred".