101649975840 has 768 divisors, whose sum is σ = 415425024000. Its totient is φ = 22736609280.

The previous prime is 101649975829. The next prime is 101649975857. The reversal of 101649975840 is 48579946101.

101649975840 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 499 + 75 + 84 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 481753335 + ... + 481753545.

It is an arithmetic number, because the mean of its divisors is an integer number (540918000).

Almost surely, 2^101649975840 is an apocalyptic number.

101649975840 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 101649975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207712512000).

101649975840 is an abundant number, since it is smaller than the sum of its proper divisors (313775048160).

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

101649975840 is a wasteful number, since it uses less digits than its factorization.

101649975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 101649975840 in words is "one hundred one billion, six hundred forty-nine million, nine hundred seventy-five thousand, eight hundred forty".