104826651602400 has 5184 divisors, whose sum is σ = 509461832355840. Its totient is φ = 19671662592000.

The previous prime is 104826651602363. The next prime is 104826651602401. The reversal of 104826651602400 is 4206156628401.

It is a happy number.

104826651602400 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 26 + 65 + 160 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104826651602401) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1435981528764 + ... + 1435981528836.

Almost surely, 2^{104826651602400} is an apocalyptic number.

104826651602400 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 104826651602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254730916177920).

104826651602400 is an abundant number, since it is smaller than the sum of its proper divisors (404635180753440).

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

104826651602400 is a wasteful number, since it uses less digits than its factorization.

104826651602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 104826651602400 in words is "one hundred four trillion, eight hundred twenty-six billion, six hundred fifty-one million, six hundred two thousand, four hundred".