97361510400000 has 3240 divisors, whose sum is σ = 447412600901448. Its totient is φ = 20230963200000.

The previous prime is 97361510399977. The next prime is 97361510400043. The reversal of 97361510400000 is 401516379.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8851046399995 + ... + 8851046400005.

Almost surely, 2^{97361510400000} is an apocalyptic number.

97361510400000 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 97361510400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223706300450724).

97361510400000 is an abundant number, since it is smaller than the sum of its proper divisors (350051090501448).

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

97361510400000 is an frugal number, since it uses more digits than its factorization.

97361510400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 97361510400000 its reverse (401516379), we get a palindrome (97361911916379).

The spelling of 97361510400000 in words is "ninety-seven trillion, three hundred sixty-one billion, five hundred ten million, four hundred thousand".