100579783449600 has 5280 divisors, whose sum is σ = 476457371026560. Its totient is φ = 20404701757440.

The previous prime is 100579783449571. The next prime is 100579783449611. The reversal of 100579783449600 is 6944387975001.

100579783449600 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 79 + 78 + 3 + 4 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 890086579144 + ... + 890086579256.

It is an arithmetic number, because the mean of its divisors is an integer number (90238138452).

Almost surely, 2^{100579783449600} is an apocalyptic number.

100579783449600 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 100579783449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238228685513280).

100579783449600 is an abundant number, since it is smaller than the sum of its proper divisors (375877587576960).

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

100579783449600 is a wasteful number, since it uses less digits than its factorization.

100579783449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 100579783449600 in words is "one hundred trillion, five hundred seventy-nine billion, seven hundred eighty-three million, four hundred forty-nine thousand, six hundred".