97025040000 has 1920 divisors, whose sum is σ = 445393428480. Its totient is φ = 20528640000.

The previous prime is 97025039983. The next prime is 97025040017. The reversal of 97025040000 is 4052079.

97025040000 is a `hidden beast` number, since 9 + 7 + 0 + 250 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97025039983) and next prime (97025040017).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3129839985 + ... + 3129840015.

It is an arithmetic number, because the mean of its divisors is an integer number (231975744).

Almost surely, 2^97025040000 is an apocalyptic number.

97025040000 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 97025040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222696714240).

97025040000 is an abundant number, since it is smaller than the sum of its proper divisors (348368388480).

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

97025040000 is an equidigital number, since it uses as much as digits as its factorization.

97025040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 97025040000 its reverse (4052079), we get a palindrome (97029092079).

The spelling of 97025040000 in words is "ninety-seven billion, twenty-five million, forty thousand".