85157091363600 has 945 divisors, whose sum is σ = 321093279509317. Its totient is φ = 21691994607360.

The previous prime is 85157091363593. The next prime is 85157091363637. The reversal of 85157091363600 is 636319075158.

The square root of 85157091363600 is 9228060.

It is a perfect power (a square), and thus also a powerful number.

85157091363600 is a `hidden beast` number, since 8 + 5 + 1 + 570 + 9 + 1 + 3 + 6 + 3 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30656552890896 + 54500538472704 = 5536836^2 + 7382448^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 114612504829 + ... + 114612505571.

Almost surely, 2^{85157091363600} is an apocalyptic number.

85157091363600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85157091363600 is the 9228060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85157091363600

85157091363600 is an abundant number, since it is smaller than the sum of its proper divisors (235936188145717).

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

85157091363600 is an frugal number, since it uses more digits than its factorization.

85157091363600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 85157091363600 in words is "eighty-five trillion, one hundred fifty-seven billion, ninety-one million, three hundred sixty-three thousand, six hundred".