101029600788480 has 7680 divisors, whose sum is σ = 519396373742400. Its totient is φ = 18492652781568.

The previous prime is 101029600788449. The next prime is 101029600788503. The reversal of 101029600788480 is 84887006920101.

101029600788480 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 96 + 0 + 0 + 78 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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 479 ways as a sum of consecutive naturals, for example, 2730529751022 + ... + 2730529751058.

Almost surely, 2^{101029600788480} is an apocalyptic number.

101029600788480 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 101029600788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259698186871200).

101029600788480 is an abundant number, since it is smaller than the sum of its proper divisors (418366772953920).

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

101029600788480 is a wasteful number, since it uses less digits than its factorization.

101029600788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 101029600788480 in words is "one hundred one trillion, twenty-nine billion, six hundred million, seven hundred eighty-eight thousand, four hundred eighty".