10007495481600 has 1728 divisors, whose sum is σ = 41120093145600. Its totient is φ = 2368402882560.

The previous prime is 10007495481547. The next prime is 10007495481611. The reversal of 10007495481600 is 618459470001.

10007495481600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 49 + 548 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4932229386 + ... + 4932231414.

It is an arithmetic number, because the mean of its divisors is an integer number (23796350200).

Almost surely, 2^{10007495481600} is an apocalyptic number.

10007495481600 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 10007495481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20560046572800).

10007495481600 is an abundant number, since it is smaller than the sum of its proper divisors (31112597664000).

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

10007495481600 is a wasteful number, since it uses less digits than its factorization.

10007495481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10007495481600 in words is "ten trillion, seven billion, four hundred ninety-five million, four hundred eighty-one thousand, six hundred".