85961501640 has 1536 divisors, whose sum is σ = 382952448000. Its totient is φ = 16986267648.

The previous prime is 85961501617. The next prime is 85961501663. The reversal of 85961501640 is 4610516958.

85961501640 is a `hidden beast` number, since 8 + 596 + 1 + 5 + 0 + 16 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (85961501617) and next prime (85961501663).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 803378467 + ... + 803378573.

It is an arithmetic number, because the mean of its divisors is an integer number (249318000).

Almost surely, 2^85961501640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85961501640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191476224000).

85961501640 is an abundant number, since it is smaller than the sum of its proper divisors (296990946360).

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

85961501640 is a wasteful number, since it uses less digits than its factorization.

85961501640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 85961501640 in words is "eighty-five billion, nine hundred sixty-one million, five hundred one thousand, six hundred forty".