91825621196400 has 6720 divisors, whose sum is σ = 453732095287296. Its totient is φ = 17306763264000.

The previous prime is 91825621196321. The next prime is 91825621196423. The reversal of 91825621196400 is 469112652819.

91825621196400 is a `hidden beast` number, since 9 + 1 + 8 + 2 + 5 + 621 + 1 + 9 + 6 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 1293318608365 + ... + 1293318608435.

Almost surely, 2^{91825621196400} is an apocalyptic number.

91825621196400 is a gapful number since it is divisible by the number (90) 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 91825621196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226866047643648).

91825621196400 is an abundant number, since it is smaller than the sum of its proper divisors (361906474090896).

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

91825621196400 is a wasteful number, since it uses less digits than its factorization.

91825621196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 91825621196400 in words is "ninety-one trillion, eight hundred twenty-five billion, six hundred twenty-one million, one hundred ninety-six thousand, four hundred".