10742621535360 has 4096 divisors, whose sum is σ = 49772814336000. Its totient is φ = 2167824384000.

The previous prime is 10742621535287. The next prime is 10742621535367. The reversal of 10742621535360 is 6353512624701.

10742621535360 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 62 + 1 + 53 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10742621535367) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 176108549730 + ... + 176108549790.

It is an arithmetic number, because the mean of its divisors is an integer number (12151566000).

Almost surely, 2^{10742621535360} is an apocalyptic number.

10742621535360 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 10742621535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24886407168000).

10742621535360 is an abundant number, since it is smaller than the sum of its proper divisors (39030192800640).

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

10742621535360 is a wasteful number, since it uses less digits than its factorization.

10742621535360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 10742621535360 in words is "ten trillion, seven hundred forty-two billion, six hundred twenty-one million, five hundred thirty-five thousand, three hundred sixty".