35130497402880 has 4032 divisors, whose sum is σ = 154298145456000. Its totient is φ = 7630741831680.

The previous prime is 35130497402879. The next prime is 35130497402881. The reversal of 35130497402880 is 8820479403153.

It is a happy number.

35130497402880 is a `hidden beast` number, since 3 + 5 + 1 + 30 + 497 + 40 + 2 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (35130497402879) and next prime (35130497402881).

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

It is not an unprimeable number, because it can be changed into a prime (35130497402881) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 394724689876 + ... + 394724689964.

It is an arithmetic number, because the mean of its divisors is an integer number (38268389250).

Almost surely, 2^{35130497402880} is an apocalyptic number.

35130497402880 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 35130497402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77149072728000).

35130497402880 is an abundant number, since it is smaller than the sum of its proper divisors (119167648053120).

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

35130497402880 is a wasteful number, since it uses less digits than its factorization.

35130497402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 35130497402880 in words is "thirty-five trillion, one hundred thirty billion, four hundred ninety-seven million, four hundred two thousand, eight hundred eighty".