101749408603920 has 800 divisors, whose sum is σ = 444633447709440. Its totient is φ = 20948753018880.

The previous prime is 101749408603903. The next prime is 101749408603943. The reversal of 101749408603920 is 29306804947101.

101749408603920 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 4 + 9 + 4 + 0 + 8 + 603 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53451214 + ... + 55322066.

Almost surely, 2^{101749408603920} is an apocalyptic number.

101749408603920 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 101749408603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222316723854720).

101749408603920 is an abundant number, since it is smaller than the sum of its proper divisors (342884039105520).

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

101749408603920 is a wasteful number, since it uses less digits than its factorization.

101749408603920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871005 (or 1870990 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 101749408603920 in words is "one hundred one trillion, seven hundred forty-nine billion, four hundred eight million, six hundred three thousand, nine hundred twenty".