140610086923680 has 1728 divisors, whose sum is σ = 585852976800000. Its totient is φ = 30540631080960.

The previous prime is 140610086923639. The next prime is 140610086923687. The reversal of 140610086923680 is 86329680016041.

140610086923680 is a `hidden beast` number, since 1 + 406 + 10 + 0 + 86 + 92 + 3 + 68 + 0 = 666.

It is a super-2 number, since 2×140610086923680² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140610086923687) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6776705946 + ... + 6776726694.

It is an arithmetic number, because the mean of its divisors is an integer number (339035287500).

Almost surely, 2^{140610086923680} is an apocalyptic number.

140610086923680 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 140610086923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292926488400000).

140610086923680 is an abundant number, since it is smaller than the sum of its proper divisors (445242889876320).

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

140610086923680 is a wasteful number, since it uses less digits than its factorization.

140610086923680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20923 (or 20901 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 140610086923680 in words is "one hundred forty trillion, six hundred ten billion, eighty-six million, nine hundred twenty-three thousand, six hundred eighty".