10261065170400 has 288 divisors, whose sum is σ = 38353801449600. Its totient is φ = 2356608153600.

The previous prime is 10261065170393. The next prime is 10261065170423. The reversal of 10261065170400 is 407156016201.

10261065170400 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9726735 + ... + 10729934.

It is an arithmetic number, because the mean of its divisors is an integer number (133172921700).

Almost surely, 2^{10261065170400} is an apocalyptic number.

10261065170400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10261065170400 is an abundant number, since it is smaller than the sum of its proper divisors (28092736279200).

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

10261065170400 is a wasteful number, since it uses less digits than its factorization.

10261065170400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20456722 (or 20456709 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10261065170400 in words is "ten trillion, two hundred sixty-one billion, sixty-five million, one hundred seventy thousand, four hundred".