101798631698400 has 1728 divisors, whose sum is σ = 445113367171200. Its totient is φ = 21318253608960.

The previous prime is 101798631698389. The next prime is 101798631698431. The reversal of 101798631698400 is 4896136897101.

101798631698400 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 9 + 8 + 63 + 169 + 8 + 400 = 666.

It is a super-2 number, since 2×101798631698400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59566196746 + ... + 59566198454.

It is an arithmetic number, because the mean of its divisors is an integer number (257588754150).

Almost surely, 2^{101798631698400} is an apocalyptic number.

101798631698400 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 101798631698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222556683585600).

101798631698400 is an abundant number, since it is smaller than the sum of its proper divisors (343314735472800).

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

101798631698400 is a wasteful number, since it uses less digits than its factorization.

101798631698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 101798631698400 in words is "one hundred one trillion, seven hundred ninety-eight billion, six hundred thirty-one million, six hundred ninety-eight thousand, four hundred".