10071489600 has 504 divisors, whose sum is σ = 38103230880. Its totient is φ = 2515968000.

The previous prime is 10071489599. The next prime is 10071489641. The reversal of 10071489600 is 698417001.

10071489600 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 1 + 48 + 9 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35841460 + ... + 35841740.

Almost surely, 2^10071489600 is an apocalyptic number.

10071489600 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 10071489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051615440).

10071489600 is an abundant number, since it is smaller than the sum of its proper divisors (28031741280).

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

10071489600 is a wasteful number, since it uses less digits than its factorization.

10071489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10071489600 in words is "ten billion, seventy-one million, four hundred eighty-nine thousand, six hundred".