97821947520 has 384 divisors, whose sum is σ = 369132940800. Its totient is φ = 23673692160.

The previous prime is 97821947491. The next prime is 97821947521. The reversal of 97821947520 is 2574912879.

97821947520 is a `hidden beast` number, since 9 + 7 + 8 + 21 + 94 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (97821947521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54678786 + ... + 54680574.

It is an arithmetic number, because the mean of its divisors is an integer number (961283700).

Almost surely, 2^97821947520 is an apocalyptic number.

97821947520 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 97821947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184566470400).

97821947520 is an abundant number, since it is smaller than the sum of its proper divisors (271310993280).

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

97821947520 is a wasteful number, since it uses less digits than its factorization.

97821947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 97821947520 in words is "ninety-seven billion, eight hundred twenty-one million, nine hundred forty-seven thousand, five hundred twenty".