97802495820 has 240 divisors, whose sum is σ = 333379200000. Its totient is φ = 23910733440.

The previous prime is 97802495803. The next prime is 97802495873. The reversal of 97802495820 is 2859420879.

97802495820 is a `hidden beast` number, since 9 + 78 + 0 + 2 + 495 + 82 + 0 = 666.

It is a super-2 number, since 2×97802495820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 902931 + ... + 1005429.

It is an arithmetic number, because the mean of its divisors is an integer number (1389080000).

Almost surely, 2^97802495820 is an apocalyptic number.

97802495820 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 97802495820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166689600000).

97802495820 is an abundant number, since it is smaller than the sum of its proper divisors (235576704180).

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

97802495820 is a wasteful number, since it uses less digits than its factorization.

97802495820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102570 (or 102559 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 97802495820 in words is "ninety-seven billion, eight hundred two million, four hundred ninety-five thousand, eight hundred twenty".