97078152960 has 216 divisors, whose sum is σ = 336194258400. Its totient is φ = 25863315456.

The previous prime is 97078152947. The next prime is 97078153031. The reversal of 97078152960 is 6925187079.

It is a junction number, because it is equal to n+sod(n) for n = 97078152897 and 97078152906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14707741 + ... + 14714339.

It is an arithmetic number, because the mean of its divisors is an integer number (1556454900).

Almost surely, 2^97078152960 is an apocalyptic number.

97078152960 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 97078152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168097129200).

97078152960 is an abundant number, since it is smaller than the sum of its proper divisors (239116105440).

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

97078152960 is a wasteful number, since it uses less digits than its factorization.

97078152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 97078152960 in words is "ninety-seven billion, seventy-eight million, one hundred fifty-two thousand, nine hundred sixty".