104898693936960 has 2240 divisors, whose sum is σ = 475369247384064. Its totient is φ = 21323907072000.

The previous prime is 104898693936893. The next prime is 104898693936989. The reversal of 104898693936960 is 69639396898401.

104898693936960 is a `hidden beast` number, since 1 + 0 + 4 + 89 + 8 + 69 + 393 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×104898693936960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 104898693936960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42417586284 + ... + 42417588756.

Almost surely, 2^{104898693936960} is an apocalyptic number.

104898693936960 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 104898693936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237684623692032).

104898693936960 is an abundant number, since it is smaller than the sum of its proper divisors (370470553447104).

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

104898693936960 is a wasteful number, since it uses less digits than its factorization.

104898693936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 3265173504, while the sum is 81.

The spelling of 104898693936960 in words is "one hundred four trillion, eight hundred ninety-eight billion, six hundred ninety-three million, nine hundred thirty-six thousand, nine hundred sixty".