10145096702400 has 1008 divisors, whose sum is σ = 37361573150720. Its totient is φ = 2407781376000.

The previous prime is 10145096702387. The next prime is 10145096702423. The reversal of 10145096702400 is 420769054101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5827165530 + ... + 5827167270.

Almost surely, 2^{10145096702400} is an apocalyptic number.

10145096702400 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 10145096702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18680786575360).

10145096702400 is an abundant number, since it is smaller than the sum of its proper divisors (27216476448320).

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

10145096702400 is a wasteful number, since it uses less digits than its factorization.

10145096702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10145096702400 in words is "ten trillion, one hundred forty-five billion, ninety-six million, seven hundred two thousand, four hundred".