10097256702400 has 336 divisors, whose sum is σ = 29855664383040. Its totient is φ = 3287737958400.

The previous prime is 10097256702349. The next prime is 10097256702409. The reversal of 10097256702400 is 420765279001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097256702409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19557984 + ... + 20067616.

Almost surely, 2^{10097256702400} is an apocalyptic number.

10097256702400 is a gapful number since it is divisible by the number (10) 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 10097256702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927832191520).

10097256702400 is an abundant number, since it is smaller than the sum of its proper divisors (19758407680640).

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

10097256702400 is a wasteful number, since it uses less digits than its factorization.

10097256702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509752 (or 509737 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 10097256702400 in words is "ten trillion, ninety-seven billion, two hundred fifty-six million, seven hundred two thousand, four hundred".