101630985936480 has 1920 divisors, whose sum is σ = 484081648275456. Its totient is φ = 19392174489600.

The previous prime is 101630985936451. The next prime is 101630985936497. The reversal of 101630985936480 is 84639589036101.

101630985936480 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 30 + 9 + 8 + 593 + 6 + 4 + 8 + 0 = 666.

101630985936480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 319 ways as a sum of consecutive naturals, for example, 2503760985 + ... + 2503801575.

Almost surely, 2^{101630985936480} is an apocalyptic number.

101630985936480 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 101630985936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242040824137728).

101630985936480 is an abundant number, since it is smaller than the sum of its proper divisors (382450662338976).

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

101630985936480 is a wasteful number, since it uses less digits than its factorization.

101630985936480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40842 (or 40825 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 101630985936480 in words is "one hundred one trillion, six hundred thirty billion, nine hundred eighty-five million, nine hundred thirty-six thousand, four hundred eighty".