10035157087340 has 288 divisors, whose sum is σ = 27649316459520. Its totient is φ = 2991712458240.

The previous prime is 10035157087297. The next prime is 10035157087349. The reversal of 10035157087340 is 4378075153001.

10035157087340 is digitally balanced in base 2, 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 (44).

It is a junction number, because it is equal to n+sod(n) for n = 10035157087291 and 10035157087300.

It is not an unprimeable number, because it can be changed into a prime (10035157087349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36844337 + ... + 37115703.

It is an arithmetic number, because the mean of its divisors is an integer number (96004571040).

Almost surely, 2^{10035157087340} is an apocalyptic number.

10035157087340 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 10035157087340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824658229760).

10035157087340 is an abundant number, since it is smaller than the sum of its proper divisors (17614159372180).

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

10035157087340 is a wasteful number, since it uses less digits than its factorization.

10035157087340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271501 (or 271488 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 10035157087340 in words is "ten trillion, thirty-five billion, one hundred fifty-seven million, eighty-seven thousand, three hundred forty".