35552875438080 has 5376 divisors, whose sum is σ = 178066528174080. Its totient is φ = 6321969561600.

The previous prime is 35552875438043. The next prime is 35552875438097. The reversal of 35552875438080 is 8083457825553.

It is a happy number.

35552875438080 is a `hidden beast` number, since 3 + 5 + 5 + 5 + 2 + 8 + 7 + 543 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a junction number, because it is equal to n+sod(n) for n = 35552875437999 and 35552875438017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 500744724445 + ... + 500744724515.

It is an arithmetic number, because the mean of its divisors is an integer number (33122494080).

Almost surely, 2^{35552875438080} is an apocalyptic number.

35552875438080 is a gapful number since it is divisible by the number (30) 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 35552875438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89033264087040).

35552875438080 is an abundant number, since it is smaller than the sum of its proper divisors (142513652736000).

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

35552875438080 is a wasteful number, since it uses less digits than its factorization.

35552875438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 35552875438080 in words is "thirty-five trillion, five hundred fifty-two billion, eight hundred seventy-five million, four hundred thirty-eight thousand, eighty".