97078680316800 has 3072 divisors, whose sum is σ = 475153588224000. Its totient is φ = 18777658982400.

The previous prime is 97078680316799. The next prime is 97078680316879. The reversal of 97078680316800 is 861308687079.

97078680316800 is a `hidden beast` number, since 97 + 0 + 7 + 86 + 80 + 316 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4630943119 + ... + 4630964081.

It is an arithmetic number, because the mean of its divisors is an integer number (154672392000).

Almost surely, 2^{97078680316800} is an apocalyptic number.

97078680316800 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 97078680316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237576794112000).

97078680316800 is an abundant number, since it is smaller than the sum of its proper divisors (378074907907200).

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

97078680316800 is a wasteful number, since it uses less digits than its factorization.

97078680316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21066 (or 21043 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 97078680316800 in words is "ninety-seven trillion, seventy-eight billion, six hundred eighty million, three hundred sixteen thousand, eight hundred".