95516190000 has 1350 divisors, whose sum is σ = 429492002940. Its totient is φ = 19736640000.

The previous prime is 95516189963. The next prime is 95516190101. The reversal of 95516190000 is 9161559.

It is a super-2 number, since 2×95516190000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 533609911 + ... + 533610089.

Almost surely, 2^95516190000 is an apocalyptic number.

95516190000 is a gapful number since it is divisible by the number (90) 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 95516190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214746001470).

95516190000 is an abundant number, since it is smaller than the sum of its proper divisors (333975812940).

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

95516190000 is a wasteful number, since it uses less digits than its factorization.

95516190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 95516190000 in words is "ninety-five billion, five hundred sixteen million, one hundred ninety thousand".