10951852591680 has 896 divisors, whose sum is σ = 49433429606400. Its totient is φ = 1977084149760.

The previous prime is 10951852591627. The next prime is 10951852591699. The reversal of 10951852591680 is 8619525815901.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16001121 + ... + 16671519.

It is an arithmetic number, because the mean of its divisors is an integer number (55171238400).

Almost surely, 2^{10951852591680} is an apocalyptic number.

10951852591680 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 10951852591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716714803200).

10951852591680 is an abundant number, since it is smaller than the sum of its proper divisors (38481577014720).

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

10951852591680 is a wasteful number, since it uses less digits than its factorization.

10951852591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670467 (or 670457 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 60.

The spelling of 10951852591680 in words is "ten trillion, nine hundred fifty-one billion, eight hundred fifty-two million, five hundred ninety-one thousand, six hundred eighty".