91934778000 has 640 divisors, whose sum is σ = 332882694144. Its totient is φ = 21676032000.

The previous prime is 91934777983. The next prime is 91934778037. The reversal of 91934778000 is 87743919.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466673902 + ... + 466674098.

Almost surely, 2^91934778000 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 91934778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166441347072).

91934778000 is an abundant number, since it is smaller than the sum of its proper divisors (240947916144).

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

91934778000 is a wasteful number, since it uses less digits than its factorization.

91934778000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 91934778000 in words is "ninety-one billion, nine hundred thirty-four million, seven hundred seventy-eight thousand".